41. Petersburg Department Of Steklov Institute Of Mathematics The mathematics institute of Russian Academy of Sciences, consisting of 11 laboratories mathematical physics, geometry and topology, number theory, algebra, mathematical analysis, mathematical physics, mathematical problems of physics, mathematical problems of statistical physics, statistical methods, representation theory and computing mathematics, mathematical problems of geophysics. http://www.pdmi.ras.ru/

contact information about the name of the institute HISTORY ACTIVITIES ... Tete-a-Tete in Russia program Petersburg Department of Steklov Institute of Mathematics belongs to Department of Mathematics of Russian Academy of Sciences This server is maintained by the webmasters of PDMI. Send comments to webmaster@pdmi.ras.ru From 9 Nov 2001 you are

42. Popular Texts Textbook in Problems on Elementary topology. by O.Ya.Viro, OA.Ivanov, VM.Kharlamovand NY.Netsvetaev. Introduction into topology of Real Algebraic Varieties. http://www.math.uu.se/~oleg/educ-texts.html

Textbook in Problems on Elementary Topology by O.Ya.Viro, O.A.Ivanov, V.M.Kharlamov and N.Y.Netsvetaev. This is a textbook on Elementary Topology. Still, it is not finished. Hopefully, it will not be yet another textbook. Here is Foreword where we describe the collection of pedagogical ideas and tricks, which can give the first impression about the project. To find out more, take a look on the Table of Contents I would appreciate any criticism, or suggestions either on the general principles or any specific part of the text. The last version of the whole book (a PostScript file) can be taken here Russian version, which is even less complete, can be found here. Configurations of Skew Lines in the 3-Dimensional Space This is a survey of results on projective configurations of subspaces in general position written by Julia Viro and Oleg Viro in the form of a popular introduction to the subject, with much of the material accessible to advanced high school students. However, in the part of the survey concerning configurations of lines in general position in three-dimensional space we give a complete exposition. The same paper in postscript format: Interlacings of Skew Lines Introduction into Topology of Real Algebraic Varieties Postscript files of the first sections of this text: The Early Topological Study of Real Algebraic Plane Curves A Real Algebraic Curve from the Complex Point of View The Topological Point of View on Prohibitions Patchworking A popular paper concerning a technique for constructing real algebraic varieties by gluing pieces together and counter-examples to the oldest conjecture about topology of real algebraic curves (published in the Intelligencer).

43. Links To Low-dimensional Topology: Personal Home Pages Journals Home pages. Lowdimensional topology links home pages. Aaron Abrams,At U. of Georgia. Colin Adams, at Williams College. Ian Agol, at UIC. http://www.math.unl.edu/~mbritten/ldt/homepage.html

General Conferences Pages of Links Knot Theory ... Journals Low-dimensional topology links: home pages Aaron Abrams , At U. of Georgia. Colin Adams , at Williams College. Ian Agol , at UIC. Selman Akbulut , at Michigan State. Jim Anderson , at U. of Southampton Jørgen Andersen , at Univ. of Aarhus Dave Auckly , at Kansas State. David Bachman , at Cal Poly San Luis Obispo. John Baez , at UC Riverside. Dror Bar-Natan , at U. of Toronto. Anneke Bart , at St. Louis U. Alexander Barchechat , at Tulane U. Mladen Bestvina , at U. of Utah. Joan Birman , at Columbia U. Christian Blanchet , at the Université de Bretagne-Sud. Francis Bonahon , at USC. Brian Bowditch , at U. of Southampton. Steven Bradlow , at UIUC. Noel Brady , at U. of Oklahoma. Tom Brady , at Dublin City U. Tara Brendle , at cornell U. Steve Brick , at U. of South Alabama. Matt Brin , at SUNY Binghamton. Mark Brittenham , at U. of Nebraska - Lincoln. Jeffrey Brock , at U. of Chicago. Ken Bromberg , at Caltech. Doug Bullock , at Boise St. U. Danny Calegari , at Caltech. Christopher Campbell , at UC Santa Barbara.

44. Spring Topology And Dynamical Systems Conference 2003 Home Page Lubbock, Texas, USA; 2022 March 2003. http://www.math.ttu.edu/~wlewis/stdc/stdc.html

SPRING TOPOLOGY and DYNAMICAL SYSTEMS CONFERENCE 2003 TEXAS TECH UNIVERSITY LUBBOCK, TEXAS MARCH 20-22, 2003 Home Organization Program, Speakers Registration ... Acknowledgements CLICK ON ANY LINK ABOVE FOR INFORMATION ON THE CONFERENCE All files and links should now be operational. WHITE PAPER: The conference concluded with a discussion of current questions and challenges and future directions. Written comments from this discussion subsequently submitted were assembled into a "white paper" submitted to the National Science Foundation. For a copy of this paper, click here. Two versions of the conference logo are presented above. The logo depicts the many facets of the conference and their interconnections. Each develops in its own direction while maintaining strong connections with the core and being connected with other subject areas. The logo is itself a topological object, with the lines forming the interconnections depicting knot 5 . This logo also depicts a five-pointed star, which is appropriate for this being the third of this series of conferences in a four-year period to be held in the Lone Star State of Texas, a state which has had a major influence on the development of topology. Contact: springtop@math.ttu.edu

45. Topology -- From MathWorld topology. topology is the mathematical study of properties of objects whichare preserved through deformations, twistings, and stretchings. http://mathworld.wolfram.com/Topology.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Topology General Topology Math Contributors ... Forfar Topology Topology is the mathematical study of properties of objects which are preserved through deformations, twistings, and stretchings. (Tearing, however, is not allowed.) A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid . Similarly, the set of all possible positions of the hour hand of a clock is topologically equivalent to a circle (i.e., a one-dimensional closed curve with no intersections that can be embedded in two-dimensional space), the set of all possible positions of the hour and minute hands taken together is topologically equivalent to the surface of a torus (i.e., a two-dimensional a surface that can be embedded in three-dimensional space), and the set of all possible positions of the hour, minute, and second hands taken together are topologically equivalent to a three-dimensional object.

46. AMS Online Books/COLL27 Algebraic topology. by Solomon Lefschetz. Publication Date 1942 Number ofPages 389 pp. Publisher AMS ISBN 08218-3397-9 COLL/27.E Order Book. http://www.ams.org/online_bks/coll27/

Title List Help AMS Home AMS Bookstore Algebraic Topology by Solomon Lefschetz Publication Date: 1942 Number of Pages: 389 pp. Publisher: AMS ISBN: 0-8218-3397-9 COLL/27.E Download Individual Chapters FREE (10 files - 41.5mb) Frontmatter Title Contents Preface Introduction to General Topology Additive Groups Complexes Complexes: Products. Transformations. Subdivisions ... Endmatter Appendices Bibliography and Indexes Comments: webmaster@ams.org Privacy Statement Search the AMS

47. Zoltan Szabo Professor, Department of Mathematics, Princeton University. Undergraduate Representative/Advisor. topology 4 Manifolds, Gauge Theory. http://www.math.princeton.edu/~szabo/

Professor, Department of Mathematics , Princeton University e-mail: szabo@math.princeton.edu Office: 805 Fine Hall Office Phone: Address: Department of Mathematics, Princeton University Fine Hall, Washington Road, Princeton, NJ 08544, USA Research interests: Smooth 4-manifolds, Seiberg-Witten theory, Symplectic geometry, Low dimensional topology, Topological Quantum Field Theories. CV Publications and Preprints Events: CMI Summer School, 2004 The Clay Mathematics Institute is organizing a summer school in Floer Homology, Gauge Theory and Low Dimensional Topology from June 5-June 26, 2004, in Budapest. For more information please visit the school's homepage. The deadline for applications is March 31. The Fourth European Congress of Mathematics will be held in Stockholm, June 27-July 2, 2004. ... Monopoles and lens space surgeries

48. Algebraic Topology -- From MathWorld Algebraic topology. The discipline of algebraic topology is popularly known as rubbersheetgeometry and can also be viewed as the study of disconnectivities. http://mathworld.wolfram.com/AlgebraicTopology.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Topology Algebraic Topology Algebraic Topology The study of intrinsic qualitative aspects of spatial objects (e.g., surfaces spheres tori circles ... links , configuration spaces, etc.) that remain invariant under both-directions continuous one-to-one homeomorphic ) transformations. The discipline of algebraic topology is popularly known as " rubber-sheet geometry " and can also be viewed as the study of disconnectivities . Algebraic topology has a great deal of mathematical machinery for studying different kinds of hole structures, and it gets the prefix "algebraic" since many hole structures are represented best by algebraic objects like groups and rings A technical way of saying this is that algebraic topology is concerned with functors from the topological category of groups and homomorphisms . Here, the

49. Maligie Sesay; Topology And Language This article is about topology and the use of words which are found in both the English language and the Krio language of Sierra Leone. http://s13a.math.aca.mmu.ac.uk/Chreods/Issue_8/Maligie_S/Maligie_S1.html

TOPOLOGY AND LANGUAGE USING SIMPLE WORDS FOR SOME TOPOLOGICAL NOTIONS Introduction This article is about topology and the use of words which are found in both the English language and the Krio language of Sierra Leone. The enquiry was conducted at Njala University College during the 1991/92 and 1992/93 sessions. Those who participated were children in the final year of the primary school and first year of secondary school, undergraduate students and adults. Reference to those whose influence has contributed to this work was briefly made in proposing a method of enquiry in mathematics education (1). Perhaps the most decisive influence is due to Bishop's article titled Visualising and Mathematics in a Pretechnological Culture and Wheeler's contribution, Drawings and Representations, in (3). These two highlight the need for a cultural factor such as language to be given the attention it deserved. Wheeler, in particular, contends that `neither the Gestaltists, nor the Geneva school give much attention to the power of cultural factors, and particularly language, in describing what is seen and how it is represented'. What is reported in this article is confined to the use of ordinary everyday words in Krio for real-life situations bearing objects which can be described as topological. Following the authors of the A.T.M., the word `folk' will be used to describe such words (4). In the Sierra-Leone context, the notion of an `ordinary everyday language or folk word' needs to be explained. Like most African countries, the country is endowed with languages, at least ten. Among these is the Krio language, the national lingua franca. A striking feature of Krio is that at least 80 percent of its vocabulary is derived from a single language, English (5). Children, especially those in urban areas, are caught up in a situation in which outside the classroom they speak Krio, while inside the classroom they speak English because it is the medium of instruction at all levels of the educational system.

50. Shigeki Akiyama's HP Niigata University. topology and number theory. Publications and links. http://mathweb.sc.niigata-u.ac.jp/~akiyama/

Welcome to the Home page of Shigeki Akiyama (To Japanese) The 3rd RIMS Workshop, `Quasi periodic tiling and related topics' was held on 25-28 Nov., 2003. Recent several years, I am mainly interested in the topological structure of tilings generated by several kind of generalized number systems. Let us take a look at some examples, First : Minimal Pisot number tiling, Second : sofic Pisot Tiling Especially I intended to characterize in an algebraic way such tilings with ordinary/extraordinary boundaries. This research has close connection with Pisot numeration system, symbolic dynamical system and Diophantine approximation. Research Interest Publications HomePage on Analytic Number Theory (in Japanese) If you are interested in my works, feel free to contact: Shigeki Akiyama Department of Mathematics, Faculty of Science Niigata University, Ikarashi-2 8050 Niigata, 950-2181, Japan akiyama@math.sc.niigata-u.ac.jp Tel./Fax +81-(0)25-262-7481

51. Topology - Wikipedia, The Free Encyclopedia topology. From Wikipedia, the free encyclopedia. Some useful notions fromalgebraic topology. See also list of algebraic topology topics. http://en.wikipedia.org/wiki/Topology

52. Free Software: Jun For Smalltalk 3D Graphics Library with topology and geometry, OpenGL graphics layer for Smalltalk, coded in VisualWorks. Open Source, GPL http://www.sra.co.jp/people/aoki/Jun/Main_e.htm

53. Network Topology - Wikipedia, The Free Encyclopedia Network topology. Network topology is determined only by the configurationof connections between nodes; it is therefore a part of Graph theory. http://en.wikipedia.org/wiki/Network_topology

54. Probabilistic Combination Of Content And Links It introduces a probabilistic model that integrates link topology (used to identify important pages), anchor text (used to augment the text of cited pages), and activation (spread to linked pages). Experiments are on MSN Directory. PDF format http://research.microsoft.com/copyright/accept.asp?path=http://research.microsof

55. Matthew G. Brin Home Page Professor Ph.D., 1977, University of WisconsinMadison At Binghamton since 1978Areas of interest Geometric topology, Combinatorial group theory Summary of http://www.math.binghamton.edu/matt/

Matthew G. Brin Professor Ph.D., 1977, University of Wisconsin-Madison At Binghamton since 1978 Areas of interest: Geometric topology, Combinatorial group theory Summary of research interests Math Reviews list of published papers . (Institutional subscription to MathSciNet is needed for viewing.) E-mail: matt@math.binghamton.edu Phone: Fax: Office: LN 2244 Office hours: MWF Courses: Spring 2004 Math 221 Section 90: Calculus I MWF LH-14 Ph. D. Students: John Donnelly, Summer, 2003 Thesis: Properties of Richard Thompson's group F related to amenability Information about the sections that I am teaching this semester. MATH 221 Publications and bibtex Vita Me , in what used to be a common pose. Here is a (very short) list of preprints and course notes that can be downloaded. On the Zappa-Szep product Algebraic quotients of categories The algebraic structure of the braided Thompson group The Algebra of Strand Splitting. I. A Braided Version of Thompson's Group V A shortened version of half of the item above, soon to be joined by the other half. Higher dimensional Thompson groups Presentations of higher dimensional Thompson groups Introductory notes on Seifert fibered 3-manifolds (288 kbytes, gzipped, postscript format) (

56. Easy Trace Group Cartographic rasterto-vector conversion software with tools for topology creation, checking and editing. http://www.easytrace.com/

57. Midwest Topology Seminar Midwest topology Seminar. Funding. Recently the NSF awarded $20K to support the Midwesttopology Seminar. This is to fund approximately 10 meetings at $2K each. http://www.math.wayne.edu/~rrb/MTS/

Midwest Topology Seminar The Midwest Topology Seminar is a topology seminar which has run since the middle 1960's, meeting Fall, Winter and Spring of each year. Traditionally, in each year, two of the meetings are in Chicago, and one is outside Chicago. Future meetings (Updated 10 April 2004) Upcoming meetings are: the Spring 2004 meeting will be Saturday, May 1 at Indiana University. the Fall 2004 meeting will be a two day event, October 9-10, at Purdue University . Funding Recently the NSF awarded $20K to support the Midwest Topology Seminar. This is to fund approximately 10 meetings at $2K each. The money can be used to cover travel expenses for speakers and a number of participants: junior faculty and graduate students from outside the area as well as those within who need support. Ben Mann was especially interested in supporting people who might not have other forms of NSF support. In order to encourage broad attendance, limited support would be offered to several people. We hope that the sponsoring institutions would provide other funds in conjunction with this NSF support. Reimbursements will be handled through Northwestern University. Midwestern universities interested in using these funds should put in a bid for a Seminar early and advertise *broadly*, e.g. on Don Davis' list as well as here.

58. The Math Reference Project An electronic archive of articles by Karl Dahlke on topics ranging from high school geometry up to graduate level topology. http://www.mathreference.com/

Math Reference Project Main Page Welcome to the Math Reference project, an electronic archive of mathematical information. Topics range from high school geometry up to graduate level topology, and (almost) everything in between. You can either search by topic , scan through the site map , or search by keywords. Click here for our Email: (optional) Search: This website is free to everyone. It contains no banner ads, no text ads, and no popups. It's a clean site, and we'd like to keep it that way. You can support this effort by purchasing your Amazon.com products through our gateway. Just buy the items you would normally buy: books, disks, videos, software, toys, etc. We receive a small commission, at no cost to you. (Any math books purchased through this site automatically go through our gateway.) The button below will add a new bookmark to your favorites. Go to this bookmark (in your favorites) every time you want to buy something from Amazon.com or ToysRus.com . Thank you, and enjoy the commercial free site. All material in these pages is protected, © Karl Dahlke, 2002-2004, and may not be copied or redistributed without written consent. You may

59. Topology New Music Official site of topology, a new music ensemble devoted to the best of newcomposition. topology is in the studio for the next little while. http://www.topology.org.au/

Topology plays today's best composers, including Steve Reich Philip Glass Gavin Bryars Terry Riley ... Michael Nyman and many others (including themselves Concerts Contact Biogs ... Recordings Search this site Listen to a sample: real audio Download hi-res group portraits New CD: Perpetual Motion Machine Topology is in the studio for the next little while. Watch for some big changes in 2004 including some very new ways of doing performances. You can catch us performing with Isorhythmos at the Brisbane Powerhouse on March 26 and 27. Links to some Topology shows: Airwaves : 100 Years of Radio Big Decisions : The Whitlam Dismissal Topology streaming from New York on John Schaeffer's New Sounds program

60. Newton's Apple: Teacher's Guides What does mathematics have to do with mazes? What is the history behind mazes? Are there different kinds of mazes? What is topology? David solves a maze by applying the principles of mathematics. http://www.tpt.org/newtons/11/mazes.html

Teacher's Guides Index MAZES How can we best solve these puzzles? What does mathematics have to do with mazes? What is the history behind mazes? Are there different kinds of mazes? What is topology? David solves a maze by applying the principles of mathematics. Contents Vocabulary Resources Main Activity Try This INSIGHTS Beware the Minotaur! This fearsome mythical creature, half man and half bull, lurked in the dark corners of the Cretan labyrinth, waiting to devour young people sent by King Minos. But Theseus conquered the Minotaur and, guided by a golden thread, emerged from the labyrinth a victor! Like the legend of the Minotaur, mazes and labyrinths have long fascinated us. Ancient civilizations left stories of enormous labyrinthian buildings with up to 3,000 rooms. Hedge mazes have decorated gardens for centuries, providing entertainment and secret meeting places. Psychologists use mazes to study how animals learn. What is the difference between a maze and a labyrinth? Actually, the two names are synonymous. However, maze is used more often, perhaps because of the popular hedge mazes. Labyrinthian describes something that has maze-like qualities-your thumbprint or a house with many rooms to wander through.

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