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Algebraic Topology of Finite Topological Spaces and Applications

Language EnglishEnglish
Book Paperback
Book Algebraic Topology of Finite Topological Spaces and Applications Jonathan A. Barmak
Libristo code: 05281323
This volume deals with the theory of finite topological spaces and its§relationship with the homotop... Full description
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This volume deals with the theory of finite topological spaces and its§relationship with the homotopy and simple homotopy theory of polyhedra.§The interaction between their intrinsic combinatorial and topological§structures makes finite spaces a useful tool for studying problems in§Topology, Algebra and Geometry from a new perspective. In particular,§the methods developed in this manuscript are used to study Quillen's§conjecture on the poset of p-subgroups of a finite group and the§Andrews-Curtis conjecture on the 3-deformability of contractible§two-dimensional complexes.§This self-contained work constitutes the first detailed§exposition on the algebraic topology of finite spaces. It is intended§for topologists and combinatorialists, but it is also recommended for§advanced undergraduate students and graduate students with a modest§knowledge of Algebraic Topology.

About the book

Full name Algebraic Topology of Finite Topological Spaces and Applications
Language English
Binding Book - Paperback
Date of issue 2011
Number of pages 170
EAN 9783642220029
ISBN 3642220029
Libristo code 05281323
Weight 302
Dimensions 143 x 234 x 11
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