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         Topological Groups:     more books (100)
  1. Additive Subgroups of Topological Vector Spaces (Lecture Notes in Mathematics) by Wojciech Banaszczyk, 1991-08-08
  2. Lie Groups and Lie Algebras II
  3. Topological transformation groups: A categorical approach (Mathematical Centre tracts ; 65) by J. de Vries, 1975
  4. Topological semigroups, (Mathematical Centre tracts) by A. B Paalman-de Miranda, 1964
  5. Algebraic Structure of Pseudocompact Groups (Memoirs of the American Mathematical Society) by Dikran N. Dikranjan, Dmitri Shakhmatov, 1998-06
  6. Equivariant maps of spheres into the classical groups, (Memoirs of the American Mathematical Society, no. 95) by Jon H Folkman, 1971
  7. Erdos Space and Homeomorphism Groups of Manifolds (Memoirs of the American Mathematical Society) by Jan J. Dijkstra, Jan Van Mill, 2010-10-23
  8. Transformation Groups on Manifolds (Pure and Applied Mathematics) by Ted Petrie, 1984-05
  9. Integration and Harmonic Analysis on Compact Groups (London Mathematical Society Lecture Note Series 8) by R. E. Edwards, 1972-10-27
  10. Geometry of Coxeter Groups (Research Notes in Mathematics Series) by Howard Hiller, 1982-04
  11. Topological Triviality and Versality for Subgroups of A and K (Memoirs of the American Mathematical Society) by James Damon, 1988-10
  12. A Topological Chern-Weil Theory (Memoirs of the American Mathematical Society) by Anthony V. Phillips, David A., M.D. Stone, 1993-07
  13. 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
  14. Abelian Groups, Module Theory, and Topology (Lecture Notes in Pure and Applied Mathematics)

81. 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 233957 GMT
http://www.lns.cornell.edu/spr/2002-03/msg0039946.html
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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.]

82. R&E 24 Abstracts
No precompact topological group can belong to the class AA. We say that an abelian topological group is reduced if its weakly continuous unitary
http://www.heldermann.de/R&E/rae24abs.htm
Research and Exposition in Mathematics
Volume 24
E. Martin Peinador, J. Nunez Garcia (eds.)
Nuclear Groups and Lie Groups
258 pages, soft cover, ISBN 3-88538-224-5, EUR 36.00, 2001
Contents with Abstracts

L. Aussenhofer: A Survey on Nuclear Groups, 130
The aim of this article is to give a survey on the theory of nuclear groups. We first point out common properties of locally compact abelian groups and of nuclear vector spaces and we will motivate afterwards the definition of nuclear groups. The class of nuclear groups forms a Hausdorff variety of abelian groups which contains the groups mentioned above. Finally we present some theorems known to be valid for nuclear groups.

W. Banaszczyk: Theorems of Bochner and Levy for Nuclear Groups, 3144
The Bochner theorem on positive definite functions and the Levy continuity theorem remain valid for some abelian topological groups which are not locally compact, e.g. for products of LCA groups and for nuclear locally convex spaces. The article gives a survey of known results and outlines methods of proofs.

O. Blasco: Bilinear Maps and Convolutions, 4556

83. Contents
Elements of Algebraic Topology Fundamental Group and Covering Spaces. Homotopy; Homotopy Properties of Path Multiplication; Fundamental Group
http://www.math.uu.se/~oleg/topoman.html
Elementary Topology, First Course
Textbook in Problems Table of Contents
  • Foreword Contents General Topology
      Generalities of General Topology
        Topology in a Set Bases Metric Spaces Subspaces Position of a Point with Respect to a Set Set-Theoretic Digression. Maps Continuous Maps Homeomorphisms
      Topological Properties
        Connectedness Path-Connectedness Separation Axioms Countability Axioms Compactness Local Compactness and Paracompactness Sequential Compactness
      Topological Constructions
        Multiplication Quotient Spaces Zoo of Quotient Spaces Projective Spaces Topological Groups Actions of Topological Groups Spaces of Continuous Maps
      Elements of Algebraic Topology
        Fundamental Group and Covering Spaces
          Homotopy Homotopy Properties of Path Multiplication Fundamental Group The Role of Base Point Covering Spaces Calculations of Fundamental Groups Using Universal Coverings Fundamental Group and Continuous Maps Covering Spaces via Fundamental Groups
        More Applications and Calculations
          Retractions and Fixed Points Homotopy Equivalences Cellular Spaces Fundamental Group of Cellular Space One-Dimensional Homology and Cohomology
        Manifolds
          Bare Manifolds
            Locally Euclidean Spaces Manifolds Isotopy One-Dimensional Manifolds Two-Dimensional Manifolds One-Dimensional Z/2-Homology of Surfaces Surfaces Beyond Classification Three-Dimensional Manifolds
          Smooth Manifolds
            Analytic Digression:
            Differentiable Functions in Euclidean Space
          • Differential Spaces Constructing Differential Spaces Smooth Manifolds Immersions and Embeddings

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