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Algebraic Topology of Finite Topological Spaces and Applications

Algebraic Topology of Finite Topological Spaces and Applications

by Jonathan A. Barmak
Paperback
Publication Date: 24/08/2011

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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.
ISBN:
9783642220029
9783642220029
Category:
Algebraic topology
Format:
Paperback
Publication Date:
24-08-2011
Language:
English
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country of origin:
Germany
Pages:
170
Dimensions (mm):
235x155x10mm
Weight:
0.45kg

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