Algebraic Topology of Finite Topological Spaces and Applications is popular PDF and ePub book, written by Jonathan A. Barmak in 2011-08-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Algebraic Topology of Finite Topological Spaces and Applications can be Read Online from any device for your convenience.
Algebraic Topology of Finite Topological Spaces and Applications Book PDF Summary
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.
Detail Book of Algebraic Topology of Finite Topological Spaces and Applications PDF
- Author : Jonathan A. Barmak
- Release : 24 August 2011
- Publisher : Springer Science & Business Media
- ISBN : 9783642220029
- Genre : Mathematics
- Total Page : 184 pages
- Language : English
- PDF File Size : 7,6 Mb
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