Algebraic Topology of Finite Topological Spaces and Applications

Released on by Jonathan A. Barmak
preview-18

  • Algebraic Topology of Finite Topological Spaces and Applications Book Detail

  • Author : Jonathan A. Barmak
  • Release Date : 2011-08-24
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 184
  • ISBN 13 : 3642220037
  • File Size : 43,43 MB
DOWNLOAD BOOK

Algebraic Topology of Finite Topological Spaces and Applications by Jonathan A. Barmak PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Algebraic Topology of Finite Topological Spaces and Applications books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Finite Topological Spaces

Finite Topological Spaces

File Size : 35,35 MB
Total View : 248 Views
DOWNLOAD

A thesis on some fundamental aspects of Algebraic Topology on Finite Topological Spaces, specifically 4 point spaces.

Algebraic Topology

Algebraic Topology

File Size : 86,86 MB
Total View : 5912 Views
DOWNLOAD

This book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of cover

A Concise Course in Algebraic Topology

A Concise Course in Algebraic Topology

File Size : 60,60 MB
Total View : 9788 Views
DOWNLOAD

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including