1. 54: General Topology From Dave Rusin's Known Math collection. http://www.math.niu.edu/~rusin/known-math/index/54-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 54: General topology Introduction More formally, a topological space is a set X on which we have a topology a collection of subsets of X which we call the "open" subsets of X. The only requirements are that both X itself and the empty subset must be among the open sets, that all unions of open sets are open, and that the intersection of two open sets be open. This definition is arranged to meet the intent of the opening paragraph. However, stated in this generality, topological spaces can be quite bizarre; for example, in most other disciplines of mathematics, the only topologies on finite sets are the discrete topologies (all subsets are open), but the definition permits many others. Thus a general theme in topology is to test the extent to which the axioms force the kind of structure one expects to use and then, as appropriate, introduce other axioms so as to better match the intended application. For example, a single point need not be a closed set in a topology. Does this seem "inappropriate"? Then perhaps you are envisioning a special kind of topological space, say a a metric space. This alone still need not imply the space looks enough like the shapes you may have seen in a textbook; if you really prefer to understand those shapes, you need to add the axioms of a manifold, perhaps. Many such levels of generality are possible.

2. GN General Topology Preprints in general topology. http://front.math.ucdavis.edu/math.GN

Fri 4 Jun 2004 Search Submit Retrieve Subscribe ... iFAQ GN General Topology Calendar Search Authors: AB CDE FGH IJK ... U-Z New articles (last 12) 24 May math.GN/0405401 Variations on Kuratowski's 14-set theorem. David Sherman . 11 pages. GN GM 18 May math.GN/0405311 Masaru Kada , Kazuo Tomoyasu , Yasuo Yoshinobu GN LO 12 May math.GN/0405199 Extension dimension and quasi-finite CW-complexes. Alex Karasev , Vesko Valov . 21 pages. GN 22 Apr math.GN/0404372 A short proof of a theorem of Morton Brown on chains of cells. Vladimir Uspenskij GN GT Cross-listings 26 May math.LO/0405473 The cardinal characteristic for relative gamma-sets. Arnold W. Miller LO GN 14 May math.MG/0405239 Groups with a polynomial dimension growth. Alexander Dranishnikov MG GN GR 13 May math.GT/0405212 Absolute extensors in extension theory. Alex Karasev , Vesko Valov GT GN 28 Apr math.CO/0404490 Complete Invariant Graphs of Alternating Knots. Christian Soulie . 23 pages. CO GN 26 Apr math.LO/0404421 On squares of spaces and Fsigma-sets. Arnold W. Miller . 6 pages. LO GN 20 Apr math.AT/0404332 Extension theory of infinite symmetric products. Jerzy Dydak AT GN GT Revisions 19 May math.GN/0405311

3. ScienceDirect - General Topology And Its Applications - List Of Issues www.sciencedirect.com/science/journal/01668641 54 general topology Until 1958 an additional classification 56.0X was used for general topology. Browse all (old) classifications for this area at the AMS. http://www.sciencedirect.com/science/journal/0016660X

This Feature requires JavaScript Register or Login: Password: Athens Login General Topology and its Applications Bookmark this page as: http://www.sciencedirect.com/science/journal/0016660X Continued as Topology and its Applications Volume 10 Volume 10, Issue 3 , Pages 213-314 (September 1979) Volume 10, Issue 2 , Pages 107-211 (May 1979) Volume 10, Issue 1 , Pages 1-105 (February 1979) Volume 9 Volume 8 Volume 7 Volume 6 ... Volume 1 Alert me when new Journal Issues are available Add this journal to My Favorite Journals More Publication Info Feedback Elsevier B.V.

4. SUMTOPO - The Summer Conference In Topology & Applications An annual event bringing together an international audience of researchers in general topology and related fields. Details of past and future meetings. http://sumtopo.home.att.net/

5. Applied General Topology Abstracts of all volumes. http://www.upv.es/agt/

Editors-in-Chief: Salvador Romaguera, Manuel Sanchis. ISSN: 1576-9402 Editorial Board Aims and Scope Technical Editors Instructions for Authors Abstracts: Volume 1, no.1 Volume 2, no.1 Volume 2, no.2 Volume 3, no.1 ... Volume 4, no.2

6. Fairisle: A General Topology ATM LAN Fairisle A general topology ATM LAN. Ian Leslie and Derek McAuley. December 1990. An experimental general topology local area network based on Asynchronous Transfer Mode (ATM) is described. http://www.cl.cam.ac.uk/Research/SRG/fairpap.html

Fairisle: A General Topology ATM LAN Ian Leslie and Derek McAuley December 1990 An experimental general topology local area network based on Asynchronous Transfer Mode (ATM) is described. This network is intended to be used to support multiservice traffic. The provision of guarantees of quality of service to various traffic types is an important feature of the network. The management algorithms which will be used to provide these guarantees are the subject of current research; the network components described here can be viewed as a platform on which these algorithms will be developed. Fairisle is supported by the SERC under Grant GR/F 6090.8 and by HP Laboratories Bristol. Introduction Fairisle is a research project investigating the architecture and management algorithms for a general topology ATM network which is to be used as a private or local area network. Fairisle was begun in October 1989. It arose from work in the Computer Laboratory in ATM networks, multimedia communications, protocol architectures and fast packet switching. The overall purpose of Fairisle is to investigate networks rather than switches. Such an investigation is as much concerned with how components fit together as it is with network components themselves.

7. ITES2001 - Conference Of GENERAL TOPOLOGY AND APPLICATIONS University of Padova, Bressanone, Italy; 2730 June 2001. http://www.math.unipd.it/~topology/

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8. 54: General Topology More results from www.math.niu.edu Mathematics Arxiv Front GN general topologyPreprints in general topology. http://www.math.niu.edu/~rusin/papers/known-math/index/54-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 54: General topology Introduction More formally, a topological space is a set X on which we have a topology a collection of subsets of X which we call the "open" subsets of X. The only requirements are that both X itself and the empty subset must be among the open sets, that all unions of open sets are open, and that the intersection of two open sets be open. This definition is arranged to meet the intent of the opening paragraph. However, stated in this generality, topological spaces can be quite bizarre; for example, in most other disciplines of mathematics, the only topologies on finite sets are the discrete topologies (all subsets are open), but the definition permits many others. Thus a general theme in topology is to test the extent to which the axioms force the kind of structure one expects to use and then, as appropriate, introduce other axioms so as to better match the intended application. For example, a single point need not be a closed set in a topology. Does this seem "inappropriate"? Then perhaps you are envisioning a special kind of topological space, say a a metric space. This alone still need not imply the space looks enough like the shapes you may have seen in a textbook; if you really prefer to understand those shapes, you need to add the axioms of a manifold, perhaps. Many such levels of generality are possible.

9. 55: Algebraic Topology 55 Algebraic topology. Introduction. Algebraic topology is the study of algebraic objects attached to general topology focuses on the underlying spaces and is often concerned with http://www.math.niu.edu/~rusin/known-math/index/55-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 55: Algebraic topology Introduction Algebraic topology is the study of algebraic objects attached to topological spaces; the algebraic invariants reflect some of the topological structure of the spaces. The use of these algebraic tools calls attention to some types of topological spaces which are well modeled by the algebra; fiber bundles and related spaces are included here, while complexes (CW-, simplicial-, ...) are treated in section 57. Finally, the use of the algebraic tools also calls attention to the aspects of a topological space which are well modeled by the algebra; this gives rise to homotopy theory. The algebraic tools used in topology include various (co)homology theories, homotopy groups, and groups of maps. These in turn have necessitated the development of more complex algebraic tools such as derived functors and spectral sequences; the machinery (mostly derived from homological algebra) is powerful if rather daunting. In all cases, the "naturality" of the construction implies that a map between spaces induces a map between the groups. Thus one can show that no maps of some sort can exist between two spaces (e.g. homeomorphisms) since no corresponding group homomorphisms can exists. That is, the groups and homomorphisms offer an algebraic "obstruction" to the existence of maps. Classic applications include the nonexistence of retractions of disks to their boundary and, as a consequence, the Brouwer Fixed-Point Theorem. (Obstruction theory is, more generally, the creation of algebraic invariants whose vanishing is necessary for the existence of certain topological maps. For example a function defined on a subspace Y of a space X defines an element of a homology group; that element is zero iff the function may be extended to all of X.)

10. General Topology Authors/titles Recent Submissions general topology. Title Absolute extensors in extension theory Authors Alex Karasev, Vesko Valov Subjclass Geometric Topology; general topology http://arxiv.org/list/math.GN/recent

General Topology Authors and titles for recent submissions Wed, 26 May 2004 Mon, 24 May 2004 Tue, 18 May 2004 Fri, 14 May 2004 ... Thu, 13 May 2004 Wed, 26 May 2004 math.LO/0405473 abs ps pdf other Title: The cardinal characteristic for relative gamma-sets Authors: Arnold W. Miller Subj-class: Logic; General Topology MSC-class: Mon, 24 May 2004 math.GN/0405401 abs ps pdf other Title: Variations on Kuratowski's 14-set theorem Authors: David Sherman Comments: 11 pages Subj-class: General Topology; General Mathematics MSC-class: Tue, 18 May 2004 math.GN/0405311 abs ps pdf other Title: Authors: Masaru Kada Kazuo Tomoyasu Yasuo Yoshinobu Subj-class: General Topology; Logic MSC-class: Fri, 14 May 2004 math.MG/0405239 abs ps pdf other Title: Groups with a polynomial dimension growth Authors: Alexander Dranishnikov Subj-class: Metric Geometry; General Topology; Group Theory MSC-class: Thu, 13 May 2004 math.GT/0405212 abs ps pdf other Title: Absolute extensors in extension theory Authors: Alex Karasev Vesko Valov Subj-class: Geometric Topology; General Topology Links to: arXiv math find abs ... new

11. Applied General Topology Applied general topology Universidad Politécnica de Valencia. Applied general topology. 1, 2003 International Conference on Applicable general topology. http://at.yorku.ca/i/a/a/j/00.htm

Applied General Topology Applied General Topology Editors-in-Chief Salvador Romaguera, Manuel Sanchis. ISSN Editorial Board Aims and Scope Technical Editors Instructions for Authors ... Subscription information Contents Volume 1, No. 1, 2000 Volume 2, No. 1, 2001 Proceedings of the Third Italian-Spanish Conference of General Topology and its Applications. La Manga del Mar Menor, Murcia (Spain), June 21-23, 2000. Editors: F. Balibrea, S. Romaguera, M. Sanchis, G. Tironi Volume 2, No. 2, 2001 Volume 3, No. 1, 2002 Volume 3, No. 2, 2002 Volume 4, No. 1, 2003 International Conference on Applicable General Topology. Hacettepe University, Ankara, Turkey. August 2001. Volume 4, No. 2, 2003 Function spaces, proximities and quasi-uniformiites. An international conference in honour of Professor S.A. Naimpally on his 70th birthday. September 2001. Editors: Giuseppe Di Maio, L'ubica Holá, Enrico Meccariello. Applied General Topology and Topology Atlas

12. Topology Atlas: Preprints Mostly general topology. (400+ articles) http://at.yorku.ca/topology/preprint.htm

Topology Atlas What's New Search and List Preprints Topology Atlas maintains a preprint server. Our preprint server was most active in 1996 and 1997 and nearly all of our preprints have been published elsewhere by now. We suggest that you use the Mathematics Archive ( arXiv.org or its Front ) for distributing and finding preprints. However, we do still accept submissions to the Topology Atlas preprint server. Upon request, we can help you archive all your TeX files in the Mathematics Archive. Topology Atlas Preprints recent preprints preprints sorted by date author , or title survey articles Other preprint archives Front for the Mathematics ArXiv of the arXiv.org e-Print archive Groups, Representations and Cohomology Preprint Archive by Dave Benson Hopf Topology Archive by Clarence Wilkerson Topology Atlas

13. Questions And Answers In General Topology Questions and Answers in general topology. A Journal Devoted to general topology and Related Fields. Published by Symposium of general topology Audience. http://at.yorku.ca/e/a/j/j/08.htm

Topology Atlas Document # eajj-08 Questions and Answers in General Topology A Journal Devoted to General Topology and Related Fields ISSN : 0918-4732 Commenced publication 1983. Two issues per volume, one volume per year. Published by Symposium of General Topology Audience Topologists working in general topology and related areas. Aims and Scope Questions and Answers in General Topology (abbreviation ) is an international journal devoted primarily to rapid publication of questions and answers that arise from research in general topology and related areas. Ordering Information Subscription price per year (one volume of two issues): US$60.00, or 6000 yen, in Japan. Please, send your order and cashier's check to the managing editor, Prof. Jun-iti Nagata, at the address below. Personal checks from North American subscribers are acceptable. Editorial Boad Managing Editor J. Nagata Advisors M. Atsuji, T. Ishii, Y. Katuta, R. Nakagawa, A. Okuyama, S. Sakai, T. Tanaka Editors N. Aoki, T. Hoshina, T. Mizokami, T. Nogura, Y. Tanaka, Y.Yasui Associate Editors Y. Hattori, H. Kato, N. Kemoto, A. Koyama, H. Ohta, K. Tamano, H. Tanaka, J. Terasawa, K. Yamada

14. CMS Preprints: General Topology (54-XX) general topology NoiseFactory Science Archives (http The space X is compact provided every open cover has a finite subcover. Compact spaces are very important in general topology for a variety of reasons. http://camel.math.ca/vault/preprints/54/

home about the CMS media releases search ... other societies CMS Preprints: General topology (54-XX) (Please note: preprints are listed in reverse order of submission.) Greg Kuperberg. Another homogeneous, non-bihomogeneous Peano continuum. CMS EPS #199602-54-008 (2 pages). comments? search for?

15. Mai Gehrke's Curriculum Vita New Mexico State University Nonstandard mathematics, operators on boolean algebras, fuzzy mathematics, universal algebra, general topology, posets and lattices. http://www.math.nmsu.edu/mgehrke/mgehrke.html

Mai Gehrke Department of Mathematical Sciences Phone: (505] 646-4218 New Mexico State University Fax: (505) 646-1064 Las Cruces, NM 88003 mgehrke@nmsu.edu Office Location: Science Hall Room 232 House for rent while on sabbatical 2004-2005 Return to Faculty Page Return to Main Index PROFESSIONAL EXPERIENCE Professor, New Mexico State University, Las Cruces, New Mexico. 1/99Present Part-time consulting, Physical Science Laboratory, Las Cruces, New Mexico. 1/975/97 Visiting Professor, Vanderbilt University, Nashville, Tennessee. 8/9612/96 Visiting Lektor, University of Copenhagen, Copenhagen, Denmark. 8/93 5/00 Associate Professor, New Mexico State University, Las Cruces, New Mexico. 8/905/93 Assistant Professor, New Mexico State University, Las Cruces, New Mexico. 8/885/90 2-year position as Assistant Professor, Vanderbilt University, Nashville, Tennessee. 1/837/87 Teaching Assistant, University of Houston, Houston, Texas. Return to top of page RESEARCH INTERESTS Logic and its Applications Universal Algebra and Lattice Theory General Topology Return to top of page PUBLICATIONS Mathematical Research Publications A new proof of completeness of S4 with respect to the real line , with G. Bezhanishvili, submitted to

16. BookLists: General Topology - NoiseFactory Science Archives (http://noisefactory general topology. One of the purest and most intellectually challenging branches of modern mathematics, this is not a subject for the faint hearted. http://noisefactory.co.uk/reading/general_topology.html

This site makes extensive use of JavaScript. Please make sure JavaScript is re-enabled, and then reload the page. Sorry for the inconvenience. Click topic headings for more detailed lists, including basic reviews. Click author names for lists of their relevant books available online. Click book titles for further details, reviews, and offers specific to that book. Security You should only supply credit card details over secure server connections (Amazon use a secure server). Never send credit card details over standard email. Notes for UK Visitors Even though NoiseFactory is based in the UK, most prices here are quoted in US dollars - the slightly longer shipping time is usually more than made up for by considerably lower prices in America. Buying goods online is just as easy in dollars as Sterling, because credit card transactions are automatically converted to local currency at the prevailing exchange rate. In fact, online dollar purchases are cheaper even than getting your bank to generate a money order, because banks typically charge extortionate conversion fees, whereas credit cards usually charge none at all. To buy a book or CD in dollars, just fill out the online forms provided - the rest happens automatically. Further Reading > General Topology Page 1 Page 2 Page 3 Page 4 ... Page 6 Visit our Sponsors General Topology One of the purest and most intellectually challenging branches of modern mathematics, this is not a subject for the faint hearted. You'll need to read these books carefully, and a detailed understanding may emerge only slowly, but when it does emerge it'll have been worth every minute. Taking your mind for a stroll around an abstract topological space, where even basic ooncepts like distance and dimension may not mean very much, is a joy few humans have ever experienced.

17. Millenium Krasnodar Information about the Krasnodarskiy Kray (or Kuban Region) including business, climate, general topology and Krasnodar city. http://www.millennium.kuban.net/Krasnodar/General_Info.html

18. General Topology The general topology of Dynamical Systems The general topology of Dynamical Systems Written by Ethan Akin Published by American Mathematical Society (March 1993 http://mathematicsbooks.org/General_Topology.html

Home Search High Volume Orders Links ... Philosophy of Mathematics Additional Subjects William Sleator How to Make an American Quilt Generals in Blue Lives of the Union Commanders: Lives of the Union Commanders Angel: Autumnal ... Daniel L. Auvil Featured Books Stanislaw Ulam once compared learning mathematics to learning a language, in that some people learn mathematics by "grammar" while other learn it by ear. Thurston's book is a bit like learning by ear. Written by William P. Thurston Silvio Levy Published by Princeton Univ Pr (January 1997) ISBN 0691083045 Price $60.00 General Topology I don't hesitate to give this book 5 stars. It is solid! Many reviewers allow too much personal judgement to cloud their appraisal of a certain book. To me I believe it is important to be as dispassionate as possible so that a prospective buyer can make an unbiased decision. Rather than label a book as "bad" or "good" one should focus on some factors such as: (1) Content: a summary of the main point covered by the book (this is optional). In the case of this book, this is obvious from the tit... Written by John L. Kelley

19. Schaum's Outline Of General Topology Schaum s Outline of general topology Search for books at mathematicsbooks.org. mathematicsbooks.org. Applied Cryptography. Schaum s Outline of general topology. http://mathematicsbooks.org/0070379882.html

Home Search High Volume Orders Links ... Philosophy of Mathematics Additional Subjects William Sleator How to Make an American Quilt Generals in Blue Lives of the Union Commanders: Lives of the Union Commanders Angel: Autumnal ... Daniel L. Auvil Written by Seymour Lipschutz Published by McGraw-Hill Trade (June 1968) ISBN 0070379882 Price $16.95 Customer Reviews If you are taking an introductory Topology course, I recommend using this book. It is a little old, and some of the problems are not solved, but it will offer you an advantage when using your class text. You should use Lipschutz's book together with REA's Topology Problem Solver to give you full study advantage when taking on this most difficult subject. With some moderate study, you should do better on your assignements! Look for related books on other categories Study Aids Geometry - General Study Guides Topology - General ... Mathematics Other related products Still didn't find what you want? Try Amazon search Search: All Products Books Magazines Popular Music Classical Music Video DVD Baby Electronics Software Outdoor Living Wireless Phones Keywords: Or try to look for at Fetch Used Books, at

20. Set Theoretical And General Topology Research Division Set Theoretic and general topology research group members. http://www.math-inst.hu/staff/topology.html

* Text version * A R I NSTITUTE OF M ATHEMATICS Home People The Institute - General ... Links Set Theoretical and General Topology research division Research staff , head of research division Zsigmond Nagy Lajos Soukup Associated members Endre Makai You can find more information on the Set Theory and Topology Research Group Contact the webmaster

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