61. Covering Groups Of Non-connected Topological Groups Revisited Title Covering groups of nonconnected topological groups revisited Authors Brown, R.; Mucuk, O. Journal eprint arXivmath/0009021 Publication Date 09/2000 http://adsabs.harvard.edu/abs/2000math......9021B

NASA ADS ArXiv Preprints Abstract Service Find Similar Abstracts (with default settings below ArXiv Preprint (see Abstract Preferences Translate Abstract Title: Covering groups of non-connected topological groups revisited Authors: Brown, R. Mucuk, O. Journal: eprint arXiv:math/0009021 Publication Date: Origin: ARXIV Keywords: Algebraic Topology, Category Theory, 22A05 (18G55 20J05 20L10 20L17) Comment: 13 pages, A4, Paul Taylors' diagrams. archived here for availability; Math. Proc. Camb. Phil. Soc. 115 (1994) 97-110 Bibliographic Code: Abstract In general a universal covering of a non connected topological group need not admit a topological group structure such that the covering map is a morphism of topological groups. This result is due to R.L. Taylor (1953). We generalise this result and relate it to the theory of obstructions to group extensions. The methods use: the equivalence between covering maps of X and covering groupoids of the fundamental groupoid of X; the equivalence between group groupoids and crossed modules; and descriptions of cohomology in terms of crossed complexes. Bibtex entry for this abstract Custom formatted entry for this abstract (see Preferences) Find Similar Abstracts: Use: Authors Title Keywords (in text query field) Abstract Text Return: Query Results Return items starting with number Query Form Database: Astronomy/Planetary Instrumentation Physics/Geophysics

62. 3811 W. Comfort Topological Groups. 3810 Kunen/, 1143-1263. M. 3811 W. Comfort topological groups. 3810 Kunen/, 11431263. M. Cotlar/R. Ricabarra On the existence of characters in topological groups. Am. J. Math. http://felix.unife.it/Root/d-Mathematics/d-Groups-and-semigroups/b-Topological-g

3811 W. Comfort: Topological groups. 3810 Kunen/, 1143-1263. M. Cotlar/R. Ricabarra: On the existence of characters in topological groups. Am. J. Math. 76 (1954), 375-388. D. Dikranjan/I. Prodanov/L. Stoyanov: Topological groups. Dekker 1989, 300p. $ 120. Seems to be a rather beautiful book at a surely ugly and not acceptable price. 7360 Paul Garrett: Smooth representations of totally disconnected groups. Internet 1995, 37p. F. Greenleaf: Invariant means on topological groups. Van Nostrand 1969. Siegfried Grosser/Wolfgang Herfort: An invariance property of algebraic curves in P2(R). Rend. Circ. Mat. Palermo 33 (1984), 134-144. Siegfried Grosser/Wolfgang Herfort: Abelian subgroups of topological groups. Trans. AMS 283 (...), 211-223. Siegfried Grosser/Wolfgang Herfort: Abelian subgroups of topological groups, Academic Press 1999. Siegfried Grosser/O. Loos/M. Moskowitz: U''ber Automorphismengruppen lokalkompakter Gruppen und Derivationen von Liegruppen. Math. Zeitschr. 114 (1970), 321-339. Siegfried Grosser/R. Mosak/M. Moskowitz: Duality theory and harmonic analysis on central topological groups. Indag. Math. 35 (1973), 65-91. Siegried Grosser/M. Moskowitz: On central topological groups. Trans. AMS 127 (1967), 317-340. Siegfried Grosser/M. Moskowitz: Representation theory of central topological groups. Trans. AMS 129 (1967), 361-390. Siegfried Grosser/M. Moskowitz: Compactness conditions in topological groups I-II. J. reine u. angew. Math. 246 (1971), 1-40. Siegfried Grosser/M. Moskowitz: Harmonic analysis on central topological groups. Trans. AMS 156 (1971), 419-454. 14382 Joan Hart/Kenneth Kunen: Bohr compactifications of discrete structures. Fund. Math. 160 (1999), 101-151. S. Hartman/C. Ryll-Nardzewski: Zur Theorie der lokal-kompakten abelschen Gruppen. Coll. Math. 4 (1957), 157-188. Karl Heinrich Hofmann/Sidney Morris: The structure of compact groups. De Gruyter 1997. T. Husain: Introduction to topological groups. Saunders 1966. 2613 Reiner Lenz: Group theoretic methods in image processing. Springer 1990. P. Milnes: Continuity properties of compact right topological groups. Math. Proc. Camb. Phil. Soc. 86 (1979), 427-435. D. Montgomery/L. Zippin: Topological transformation groups. Interscience 1955. 5696 L. Pontrjagin: Topologische Gruppen. 2 volumes. Teubner, Leipzig 1957. 1640 Hans Reiter: Classical harmonic analysis and locally compact groups. Oxford UP 1968. Stevo Todorcevic: Topics in topology. Springer LN Math. 1652 (1997). Concise and modern account of function space theory, semigroup structure on the Stone-Cech compactification (with a topological proof of van der Waerden's theorem), compact and compactly generated groups, and hyperspaces. Francois Ziegler: Subsets of R^n which become dense in any compact group. J. Alg. Geom. 2 (1993), 385-387. The image of a polynomial map is dense in any compact group.

63. Topology : An Introduction With Application To Topological Groups By George McCa Buy Topology An Introduction with Application to topological groups by George McCarty (Author) (Paperback April 1988) from home at our online store. http://www.mathbook.com/t/Topology/Topology_An_Introduction_with_Application_to_

For Age: 4 years and up LeapPad by LeapFrog At Amazon on 4-15-2003. More Info This talking book comes with an interactive ''magic pen'' that works like a hand-held computer mouse pointer. Children can opt to turn the paper pages and listen to the story read with different voices for each character. Or they can interrupt the read-aloud session to play with the magic pen (permanently attached with a wire). They can point the pen tip to any word on a page and hear it pronounced, or touch a picture and hear a sound effect (such as ''Strike one!'' for the baseball bat). Very similar to the popular Living Books computer games, this 10-by-11-inch book is more portable than a home computer. Stories in this set include Lil's Loose Tooth, Richard Scarry's Best Word Book Ever, and Winnie the Pooh in A Sweet Good Morning. The set also includes a paper piano keyboard and map and human anatomy games. Gail Hudson Batteries: 4 AA batteries required. Barron's Math Workbook for the Sat I (Barron's Math Workbook for the Sat I, 2nd Ed) Visit Our Sites: Buy Law Books Top Quality Wrist Watches

64. EPrints@UQ - Subject: 230105 Group Theory And Generalisations (Incl. Topological Subject 230105 Group Theory And Generalisations (Incl. topological groups And Lie Groups) The topological groups And Lie Groups). This http://eprint.uq.edu.au/view/subjects/230105.html

ePrints@UQ Home About Browse Search ... Help Subject: 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups) The Australian Standard Research Classification is published by the Australian Bureau of Statistics (ABS catalogue number 1297.0) 1998. ABS data is used with permission from the Australian Bureau of Statistics Australian Standard Research Classification 230000 Mathematical Sciences 230100 Mathematics 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups) This list was generated on Sun Jun 6 15:05:37 EST 2004 Contact the site administrator at: eprints@library.uq.edu.au privacy feedback ABN 63 942 912 684 University Provider Number: 00025B Authorised by: University Librarian Maintained by: UQ Library Last Updated: Sunday June 06 2004

65. GTG 2003 Groups and topological groups. Würzburg Germany Friday 20 Saturday 21 June 2003. The conference will take place in the Scientific http://www.mathematik.uni-wuerzburg.de/~fleischm/gtg/

Groups and Topological Groups Germany Friday 20 - Saturday 21 June 2003 The conference will take place in the Scientific Lecture hall builduing at Campus Hubland Accommodation Preliminary Programme Speakers ... Pictures of the Conference For information send mail to P. Fleischmann or O. Mutzbauer Last modified: Fri Jul 4 20:54:42 CEST 2003

66. Powell's Books - Topological Rings Satisfying Compactness Conditions By Mihail U Book News Annotation Focusing on locally compact and compact rings, this monograph illustrates results from the theory of topological groups. http://www.powells.com/cgi-bin/biblio?inkey=64-1402009399-0

67. QUT | EPrints Archive - Subject: 230105 Group Theory And Generalisations (Incl. Subject 230105 Group Theory And Generalisations (Incl. topological groups And Lie Groups). Subjects topological groups And Lie Groups). This http://eprints.qut.edu.au/view/subjects/230105.html

Subject: 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups) Subjects classification Australian Standard Research Classification 230000 Mathematical Sciences 230100 Mathematics 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups) This list was generated on Sun Jun 6 05:30:57 EST 2004 QUT Division of Technolgy, Information and Learning Support Library ITS ... Office of Research Cricos No. 00213J Accessibility Privacy Last updated 28.10.03 QUT ePrints Administrator

68. Monash University EPrint Repository - Faculties: 230105 Group Theory And General Faculties 230105 Group Theory And Generalisations (Incl. topological groups And Lie Groups). topological groups And Lie Groups). http://eprint.monash.edu.au/view/faculties/230105.html

Monash University ePrint Repository Home About Browse Search ... Help Faculties: 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups) Subjects classification Australian Standard Research Classification 230000 Mathematical Sciences 230100 Mathematics 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups) This list was generated on Sat Jun 5 20:06:59 EST 2004 Established by Monash University Library as part of a Group of Eight initiative in Australia using free software from eprints.org and generating archives compliant with the Open Archives Protocol for Metadata Harvesting OAI1.1 and 2.0. Monash University Caution Privacy

69. Short CV: Paul Milnes topological groups and flows, and Paul Milnes research is centred around topological groups, compact right topological groups, flows and C*algebras. http://www.math.uwo.ca/Milnes.html

Paul Milnes Professor Ph.D., University of Toronto (1970) Specializations Harmonic and functional analysis Current research interests Topological groups and flows, and associated function and operator algebras Publications Homepage Paul Milnes' research is centred around topological groups, compact right topological groups, flows and C*-algebras. These mathematical objects are both algebraic and topological in nature, are of great interest to mathematicians, and are widely studied by them; they are also very useful to physicists, statisticians and social scientists. Milnes' work uses powerful tools from harmonic analysis, topological dynamics and functional analysis. One area of Milnes' work has its origins at the beginning of this century, in the work of Harald Bohr on almost periodic functions on the real line. Since then the subject has grown enormously and now includes the study of the algebras of weakly almost periodic functions, almost automorphic functions, distal functions and many other functions of "almost periodic type" on groups and semigroups G. As well as the tools mentioned above, a unifying concept in this work is the appropriate notion of compactification of G, which is like the Stone-ech compactification, except that account is also taken of the algebraic structure of G. The structure of the relevant compactifications plays an important role in determining functional analytic and dynamical properties of the algebras and of G. In other work, Milnes studies C*-algebras generated from operator equations (analogous to the equation generating the much-studied "irrational rotation" C*-algebras) and the connection of these algebras with some special groups and flows. He also studies the representation theory of compact right topological groups; the results achieved indicate that this theory will be difficult, with much work still to be done. An important and interesting aspect of Milnes' work is the study of examples, structure and other properties of flows and compact right topological groups. A notable recent success in this area was the discovery of

70. Short CV: Paul Milnes Specializations Harmonic and functional analysis. Current research interests. topological groups and flows, and associated function and operator algebras. http://www.math.uwo.ca/~milnes/cv/

Paul Milnes Professor Ph.D., University of Toronto Specializations Harmonic and functional analysis Current research interests Topological groups and flows, and associated function and operator algebras Publications Homepage My research is centred around topological groups, compact right topological groups, flows and C*-algebras. These mathematical objects are both algebraic and topological in nature, are of great interest to mathematicians, and are widely studied by them; they are also very useful to physicists, statisticians and social scientists. My study of these concepts uses powerful tools from harmonic analysis, topological dynamics and functional analysis. One area of my work has its origins at the beginning of this century, in the work of Harald Bohr on almost periodic functions on the real line. Since then the subject has grown enormously and now includes the study of the algebras of weakly almost periodic functions, almost automorphic functions, distal functions and many other functions of "almost periodic type" on groups and semigroups G. As well as the tools mentioned above, a unifying concept in this work is the appropriate notion of compactification of G, which is like the Stone-Cech compactification, except that account is also taken of the algebraic structure of G. The structure of the relevant compactifications plays an important role in determining functional analytic and dynamical properties of the algebras and of G. Haar measure on compact right topological groups - that is, a probability measure on the group that is both left and right invariant, and unique as such; this discovery was made in joint work with coauthor J.S. Pym.

71. Mathematics Archives - Topics In Mathematics - Topology Electronic Journals, Preprints, Web Sites, Databases; AMS s Materials Organized by Mathematical Subject Classification topological groups and Lie Groups ADD. http://archives.math.utk.edu/topics/topology.html

Topics in Mathematics Topology Algebraic and Geometric Topology ADD. KEYWORDS: Electronic and printed journal SOURCE: TECHNOLOGY: Postscript and Adobe Acrobat PDF Reader Algebraic Topology ADD. KEYWORDS: Textbook, Homotopy and Homotopy Type, Cell Complexes, Fundamental Group and Covering Spaces, Van Kampen's Theorem, Homology, Cohomology, Poincare Duality, Universal Coefficient Theorem, Homotopy Groups, Hopf Invariant Algebraic Topology Discussion List ADD. KEYWORDS: Newsgroup, meetings, people AMS's Materials Organized by Mathematical Subject Classification - Algebraic Topology ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases AMS's Materials Organized by Mathematical Subject Classification - General Topology ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases AMS's Materials Organized by Mathematical Subject Classification - Manifolds and Cell Complexes ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases AMS's Materials Organized by Mathematical Subject Classification - Topological Groups and Lie Groups ADD. KEYWORDS:

72. E-J Miner Results Browse Titles, Browse Subjects, Colorado EJ s, Titles with the Subject Heading topological groups . 1 EJournals. Journal of Lie Theory. http://ejournal.coalliance.org/SubjTitles.cfm?subj=Topological Groups

73. Title The summary for this Chinese (Simplified) page contains characters that cannot be correctly displayed in this language/character set. http://phymath.csdl.ac.cn/SPT--AdvancedSearch.php?vn=ensubject&vv=Topological gr

74. 57Txx 57Txx Homology and homotopy of topological groups and related structures. 57T05 Hopf algebras, See also {16W30}; 57T10 Homology and cohomology of Lie groups; http://www.divms.uiowa.edu/MR/57Txx.html

57Txx Homology and homotopy of topological groups and related structures 57T10 Homology and cohomology of Lie groups 57T15 Homology and cohomology of homogeneous spaces of Lie groups 57T20 Homotopy groups of topological groups and homogeneous spaces 57T99 None of the above but in this section Top level of Index Top level of this Section

75. TOPOLOGICAL GROUP STRUCTURES OF INFINITE SYMMETRIC GROUPS* Proc Natl Acad Sci US A. 1967 September; 58 (3) 907 910 topological GROUP STRUCTURES OF INFINITE SYMMETRIC groups *. Edward D. Gaughan. http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=335723

76. Lattices In Nilpotent Groups Are Cocompact Proposition. Let G be a nilpotent locally compact topological group and Ha closed subgroup. Assume that G/H admits a Ginvariant probability measure. http://www.math.unibas.ch/~winkel/cplx/papers/smf-nil-lattice.html

Lattices in nilpotent groups are cocompact Proposition. Let G be a nilpotent locally compact topological group and H a closed subgroup. Assume that G/H admits a G-invariant probability measure. Then G/H is compact. Proof. First we discuss the case where G is commutative or H is normal in G. Then G/H is a locally compact topological group. It is well-known that the Haar measure on a locally compact topological group is finite if and only if this group is compact. (This is not only well-known, but also easy to prove: Let A be a non-compact locally compact topological group. Let K be a compact subset of positive Haar measure in A. Then the set of all x in A for which xK and K have non-empty intersection is a compact set and therefore does not equal the whole of A. Hence there is an element x in A such that K and xK are disjoint. The union of K and xK is a compact subset whose Haar measure is the twofold of the measure of K. By iteration it follows that A contains compact subsets of arbitrarily large measure. In particular, the Haar measure of A is not finite.) Now let us discuss the general case.

77. Topological Group -- From MathWorld topological Group. This entry contributed by Todd Rowland. A continuous group G which has a Hausdorff topology is a topological group. http://mathworld.wolfram.com/TopologicalGroup.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 Algebra Group Theory Lie Theory ... Rowland Topological Group This entry contributed by Todd Rowland A continuous group G which has a Hausdorff topology is a topological group. The simplest example is the group of real numbers under addition. The homeomorphism group of any compact Hausdorff space is a topological group when given the compact-open topology . Also, any Lie group is a topological group. Effective Action Free Action Group Group Orbit ... search Eric W. Weisstein et al. "Topological Group." From MathWorld A Wolfram Web Resource. http://mathworld.wolfram.com/TopologicalGroup.html Wolfram Research, Inc.

78. DOE Document - Topological Field Theory And Quantum Holonomy Canonical quantization of abelian BFtype topological field theory coupled to extended sources on generic d-dimensional manifolds and with curved line bundles is studied. Sheaf cohomology is used http://rdre1.inktomi.com/click?u=http://www.osti.gov/energycitations/product.bib

79. Re: The Fundamental Group Of A Topological Group Re The fundamental group of a topological group. Subject Re The fundamental group of a topological group; From arkadaso@hotmail.com (arkadas ozakin); http://www.lns.cornell.edu/spr/2002-03/msg0039946.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index Re: The fundamental group of a topological group Subject : Re: The fundamental group of a topological group From : arkadaso@hotmail.com (arkadas ozakin) Date : Fri, 1 Mar 2002 23:39:57 GMT Approved : mmcirvin@world.std.com (sci.physics.research) Message-ID a195c137.0203011428.78913ccc@posting.google.com Newsgroups : sci.physics.research Organization : http://groups.google.com/ References Sender : mmcirvin@world.std.com (Matt McIrvin) http://xxx.lanl.gov/abs/math.HO/9404236 ). arkadas [Who was scared because of the similarity of the words "nifty" and "filthy", went and checked a dictionary, and spent the rest of the day with a happy smile on his face.] Prev by Date: Re: Densitized Pseudo Twisted Forms Next by Date: Re: Quantum Gravity? WTF? Prev by thread: Re: Parallel Transport and Vector Comparison Next by thread: Re: Quantum Gravity? WTF? Index(es): Date Thread

80. Topology History introduced the fundamental group of a variety and the concept of homotopy was introduced in the same 1895 papers. A second way in which topology developed was http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Topology_in_mathematics.html

A history of Topology Geometry and topology index History Topics Index Topological ideas are present in almost all areas of today's mathematics. The subject of topology itself consists of several different branches, such as point set topology, algebraic topology and differential topology, which have relatively little in common. We shall trace the rise of topological concepts in a number of different situations. Perhaps the first work which deserves to be considered as the beginnings of topology is due to Euler . In 1736 Euler published a paper on the solution of the entitled Solutio problematis ad geometriam situs pertinentis which translates into English as The solution of a problem relating to the geometry of position. The title itself indicates that Euler was aware that he was dealing with a different type of geometry where distance was not relevant. Here is The paper not only shows that the problem of crossing the seven bridges in a single journey is impossible, but generalises the problem to show that, in today's notation, A graph has a path traversing each edge exactly once if exactly two vertices have odd degree.

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