Algebraic Topology of Finite Topological Spaces and

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

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.
Country USA
Brand Springer
Manufacturer Springer
Binding Paperback
ItemPartNumber 35 black & white illustrations, biograph
ReleaseDate 2011-09-07
UnitCount 1
EANs 9783642220029

Country	USA
Brand	Springer
Manufacturer	Springer
Binding	Paperback
ItemPartNumber	35 black & white illustrations, biograph
ReleaseDate	2011-09-07
UnitCount	1
EANs	9783642220029

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

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