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Algebraic Topology of Finite Topological Spaces and Applications
Jonathan A. Barmak
€ 54.11
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Description for Algebraic Topology of Finite Topological Spaces and Applications
Paperback. 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. This book deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. Series: Lecture Notes in Mathematics. Num Pages: 187 pages, 35 black & white illustrations, biography. BIC Classification: PBF; PBMS; PBMW; PBPD. Category: (P) Professional & Vocational. Dimension: 234 x 143 x 11. Weight in Grams: 302.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
190
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
170
Place of Publication
Berlin, Germany
ISBN
9783642220029
SKU
V9783642220029
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Algebraic Topology of Finite Topological Spaces and Applications
From the reviews: “This book deals with the algebraic topology of finite topological spaces and its applications, and includes well-known results on finite spaces and original results developed by the author. The book is self-contained and well written. It is understandable and enjoyable to read. It contains a lot of examples and figures which help the readers to understand ... Read more