Algebraic Topology of Finite Topological Spaces and Applications
Language: English
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2011
- Softcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
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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 problems inTopology, Algebra and Geometry from a new perspective. In particular,the methods developed in this manuscript are used to study Quillen'sconjecture on the poset of p-subgroups of a finite group and theAndrews-Curtis conjecture on the 3-deformability of contractibletwo-dimensional complexes.This self-contained work constitutes the first detailedexposition on the algebraic topology of finite spaces. It is intendedfor topologists and combinatorialists, but it is also recommended foradvanced undergraduate students and graduate students with a modestknowledge of Algebraic Topology.
Seller Inventory # LU-9783642220029
- Title
- Algebraic Topology of Finite Topological Spaces and Applications
- Author
- Jonathan A. Barmak
- Publisher
- Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
- Publication year
- 2011
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3642220029
- ISBN 13
- 9783642220029
- Edition
- 2011 ed.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
Rarewaves.com UK
London, United Kingdom
AbeBooks seller since June 11, 2025
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