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         Topological Groups:     more books (100)
  1. Abelian Groups, Module Theory, and Topology (Lecture Notes in Pure and Applied Mathematics)
  2. Algebraic Structure of Pseudocompact Groups (Memoirs of the American Mathematical Society, No. 633) by Dikran N. Dikranjan, Dmitri Shakhmatov, 1998-06
  3. Algebraic Groups and Their Representations by R.W. Carter, J. Saxl, 1998-08-31
  4. Structural Aspects in the Theory of Probability: A Primer In Probabilities On Algebraic-Topological Structures (Series on Multivariate Analysis, V. 7) by Herbert Heyer, 2004-08
  5. Topological Triviality and Versality for Subgroups of A and K (Memoirs of the American Mathematical Society) by James Damon, 1988-10
  6. On freely acting groups (Monographs in undergraduate mathematics) by Temple H Fay, 1976
  7. A Topological Chern-Weil Theory (Memoirs of the American Mathematical Society) by Anthony V. Phillips, David A., M.D. Stone, 1993-07
  8. Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order (Lecture Notes in Mathematics) by Yorck Sommerhäuser, 2002-07-01
  9. Compact Connected Lie Transformation Groups on Spheres With Low Cohomogeneity - II (Memoirs of the American Mathematical Society) by Eldar Straume, 1997-07
  10. Finite Group Actions on Simply-Connected Manifolds and Cw Complexes (Memoirs of the American Mathematical Society) by Amir H. Assadi, 1982-02
  11. Structure of Factors and Automorphism Groups (Cbms Regional Conference Series in Mathematics) by Masamichi Takesaki, 1983-11
  12. The concordance-homotopy groups of geometric automorphism groups (Lecture notes in mathematics 215) by Peter L Antonelli, Dan Burghelea, et all 1971
  13. The analogue of the group algebra for topological semigroups (Research notes in mathematics) by H. A. M Dzinotyiweyi, 1984
  14. Analogue of the Group Algebra for Topological Semigroups. by H. A. M. Dzinotyiweyi, 0000

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
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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)
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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_
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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

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)

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)

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
    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
    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

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
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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.]

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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