Titlebook: Algebraic Topology of Finite Topological Spaces and Applications; Jonathan A. Barmak Book 2011 Springer-Verlag Berlin Heidelberg 2011 55-X

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Algebraic Topology of Finite Topological Spaces and Applications978-3-642-22003-6Series ISSN 0075-8434 Series E-ISSN 1617-9692

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https://doi.org/10.1007/978-3-642-22003-655-XX; 05-XX; 52-XX ; 06-XX ; 57-XX; Collapses; Finite topological spaces; Homotopy and simple homoto

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Jonathan A. BarmakIt is the first complete exposition of the topic.Has applications to the study of two long-standing conjectures.It is self-contained.Includes supplementary material:

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0075-8434 s supplementary material: This volume deals with the theory of finite topological spaces and itsrelationship with the homotopy and simple homotopy theory of polyhedra.The interaction between their intrinsic combinatorial and topologicalstructures makes finite spaces a useful tool for studying proble

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