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

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

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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