Read Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics, 2032)

Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics, 2032)

Jonathan Barmak

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Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics, 2032). To get started finding Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics, 2032), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3642220029

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics, 2032). To get started finding Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics, 2032), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics, 2032)

Algebraic Topology of Finite Topological Spaces and Applications (Lecture Notes in Mathematics, 2032)

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