81. 0.1 Topological Groups 0.2 Haar Measure File Format PDF/Adobe Acrobat Quick View http://www.mathcs.emory.edu/~auel/papers/docs/loccompfieldtalk.pdf

82. Nguyen Van Thé , Pestov : Fixed Point-free Isometric Actions Of Topological Gro We show that every nonprecompact topological group admits a fixed point-free continuous action by affine isometries on a suitable Banach space. http://projecteuclid.org/euclid.bbms/1267798497

Log in Title Author(s) Abstract Subject Keyword All Fields FullText more options Home Browse Search ... next Fixed point-free isometric actions of topological groups on Banach spaces and Vladimir G. Pestov Source: Bull. Belg. Math. Soc. Simon Stevin Volume 17, Number 1 (2010), 29-51. Abstract Primary Subjects: Keywords: Affine isometric actions fixed point-free actions precompact groups Urysohn metric space ... proper actions Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text Links and Identifiers Permanent link to this document: http://projecteuclid.org/euclid.bbms/1267798497 back to Table of Contents previous next Bulletin of the Belgian Mathematical Society - Simon Stevin Current Issue All Issues Search this Journal Editorial Board ... Feeds

83. Topological Group -- From Wolfram MathWorld Oct 11, 2010 which has a Hausdorff topology is a topological group. The simplest example is the group of real numbers under addition. http://mathworld.wolfram.com/TopologicalGroup.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Rowland, Todd Topological Group A continuous group 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. SEE ALSO: Effective Action Free Action Group Group Orbit ... Transitive This entry contributed by Todd Rowland CITE THIS AS: Rowland, Todd . "Topological Group." From MathWorld A Wolfram Web Resource, created by Eric W. Weisstein http://mathworld.wolfram.com/TopologicalGroup.html Contact the MathWorld Team Wolfram Research, Inc. Wolfram Research Mathematica Home Page ... Wolfram Blog

84. ScienceDirect - Topology And Its Applications : Coproducts Of Abelian Topologica by P Nickolas 2002 - Cited by 7 - Related articles http://linkinghub.elsevier.com/retrieve/pii/S0166864101000852

window.onresize = resizeWindow; Hub ScienceDirect Scopus Register ... Go to SciVal Suite Username: Password: Remember me Not Registered? Forgotten your username or password? Go to Athens / Institution login Home ... Help All fields Author Advanced search Journal/Book title Volume Issue Page Search tips Font Size: Related Articles Free abelian topological groups and adjunction spaces Journal of Pure and Applied Algebra Free abelian topological groups and adjunction spaces Original Research Article Journal of Pure and Applied Algebra Volume 68, Issues 1-2 30 November 1990 Pages 209-214 Eli Katz, S. A. Morris, Peter Nickolas Purchase PDF (352 K) Bounded sets in topological groups and embeddings Topology and its Applications Bounded sets in topological groups and embeddings Original Research Article Topology and its Applications Volume 154, Issue 7 1 April 2007 Pages 1298-1306 Montserrat Bruguera, Mikhail Tkachenko Abstract We show that the existence of a non-metrizable compact subspace of a topological group G often implies that G contains an uncountable supersequence (a copy of the one-point compactification of an uncountable discrete space). The existence of uncountable supersequences in a topological group has a strong impact on bounded subsets of the group. For example, if a topological group

85. First Steps In Topological Transformation Groups, Gliwice, Poland, 4.9.2007 The theory of topological transformation groups combines algebra with topology in a beautifull way. This short course gives an introduction to some of the http://mathstat.helsinki.fi/~fluch/ttg_gliwice-07/

Department of Mathematics and Statistics Faculty of Science Faculty of Social Sciences Departmental front page News ... People In English First Steps in Topological Transformation Groups (Gliwice, Poland, 4.9.2007) Lecturer Martin Fluch Content The theory of topological transformation groups combines algebra with topology in a beautifull way. This short course gives an introduction to some of the very basic definitions concerning topological transformation groups and a few simple results. All the ommited proofs may be found in any book about transformation groups, the book by Kawakubo on transformation groups being one of them. Due to the limited amount of time it is impossible to serve more than only a short glimpse of the surface of this theroy, but it might give an insight of the interplay of algebra and topology. This short lecture will be part of the 3rd Summer School of Algebra and Topology which is held in Gliwice , Poland from 3rd to 7th of September. Lecture Notes The notes to this lecture can be downloaded here: ttgrp_intro.pdf

86. On Orderability Of Topological Groups A necessary and sufficient condition for a topological group whose topology can be induced by a total order compatible with the group structure is given and http://www.hindawi.com/journals/ijmms/1985/323070.abs.html

87. Introduction To Topological Groups File Format PDF/Adobe Acrobat Quick View http://www.mat.ucm.es/imi/documents/20062007_Dikran.pdf

88. On Approximation Of Topological Groups By Finite Algebraic Systems File Format PDF/Adobe Acrobat Quick View http://www.ux1.eiu.edu/~cfyig/papers/quasi1[2].pdf

89. Local Homomorphisms Of Topological Groups by Y Zelenyuk Cited by 2 - Related articles http://www.austms.org.au/Publ/JAustMS/V83P1/831-l136-Zelenyuk/index.html

90. The Character Of Free Topological Groups I - Dialnet by P Nickolas 2005 - Cited by 6 - Related articles http://dialnet.unirioja.es/servlet/articulo?codigo=1161293

91. On Subgroups Of Minimal Topological Groups by VV Uspenskij 2000 - Cited by 23 - Related articles http://adsabs.harvard.edu/abs/2000math......4119U

Sign on SAO/NASA ADS arXiv e-prints Abstract Service Find Similar Abstracts (with default settings below arXiv e-print (arXiv:math/0004119) References in the Article Citations to the Article (9) Citation History Refereed Citations to the Article ... Translate This Page Title: On subgroups of minimal topological groups Authors: Publication: eprint arXiv:math/0004119 Publication Date: Origin: ARXIV Keywords: Mathematics - General Topology, Mathematics - Dynamical Systems, Mathematics - Group Theory, 22A05, 06F05, 22A15, 54D35, 54E15, 54E50, 54H11, 54H12, 54H15, 57S05 Comment: To appear in Topology and its Applications. 39 pages; doi:10.1016/j.topol.2008.03.001 Bibliographic Code: Abstract A topological group is minimal if it does not admit a strictly coarser Hausdorff group topology. The Roelcke uniformity (or lower uniformity) on a topological group is the greatest lower bound of the left and right uniformities. A group is Roelcke-precompact if it is precompact with respect to the Roelcke uniformity. Many naturally arising non-Abelian topological groups are Roelcke-precompact and hence have a natural compactification. We use such compactifications to prove that some groups of isometries are minimal. In particular, if U_1 is the Urysohn universal metric space of diameter 1, the group Iso(U_1) of all self-isometries of U_1 is Roelcke-precompact, topologically simple and minimal. We also show that every topological group is a subgroup of a minimal topologically simple Roelcke-precompact group of the form Iso(M), where M is an appropriate non-separable version of the Urysohn space.

92. Atlas: On The Extension Of Topological Groups With Closed Cross Section By Seyed by SS Gashti 2009 http://atlas-conferences.com/c/a/y/h/38.htm

Atlas home Conferences Abstracts about Atlas International Conference on Topology and its Applications July 6-11, 2009 Department of Mathematics, Hacettepe University Ankara, Turkey Organizers Emin Ozcag (Chairman), Senol Dost, Ozlem Erdogan, Riza Erturk, Haydar Es, Alev Kanibir, Selma Ozcag, Ismail Tiryaki, Filiz Yildiz View Abstracts Conference Homepage On the extension of topological groups with closed cross section by Seyed Sadjad Gashti University of Guilan, Iran Coauthors: Hossein Sahleh (University of Guilan) Let G be a topological group, A a closed normal subgroup and abelian G-module. We consider the short exact sequences i G p p For example if G=R, the real line, A=Z the integers, G/A=S , the unit circle then we have the following: i R exp S is not. d closed cross section . We denote the group of topological group extensions of A by G/A with the closed cross section property by Ext K (G/A, A). We define H k (G/A, A), the restricted second cohomology , and prove that there is a one to one correspondence between Ext k (G/A, A) and

93. On Initial And Final L-topological Groups by F Bayoumi 2005 - Cited by 9 - Related articles http://portal.acm.org/citation.cfm?id=1708871.1709014

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