Diagram Cohomology and Isovariant Homotopy Theory

Released on by Giora Dula
preview-18

  • Diagram Cohomology and Isovariant Homotopy Theory Book Detail

  • Author : Giora Dula
  • Release Date : 1994
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 97
  • ISBN 13 : 0821825895
  • File Size : 76,76 MB
DOWNLOAD BOOK

Diagram Cohomology and Isovariant Homotopy Theory by Giora Dula PDF Summary

Book Description: Obstruction theoretic methods are introduced into isovariant homotopy theory for a class of spaces with group actions; the latter includes all smooth actions of cyclic groups of prime power order. The central technical result is an equivalence between isovariant homotopy and specific equivariant homotopy theories for diagrams under suitable conditions. This leads to isovariant Whitehead theorems, an obstruction-theoretic approach to isovariant homotopy theory with obstructions in cohomology groups of ordinary and equivalent diagrams, and qualitative computations for rational homotopy groups of certain spaces of isovariant self maps of linear spheres. The computations show that these homotopy groups are often far more complicated than the rational homotopy groups for the corresponding spaces of equivariant self maps. Subsequent work will use these computations to construct new families of smooth actions on spheres that are topologically linear but differentiably nonlinear.

Disclaimer: www.yourbookbest.com does not own Diagram Cohomology and Isovariant Homotopy Theory 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.

Equivariant Homotopy and Cohomology Theory

Equivariant Homotopy and Cohomology Theory

File Size : 75,75 MB
Total View : 5053 Views
DOWNLOAD

This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the ma

Elements of Homotopy Theory

Elements of Homotopy Theory

File Size : 68,68 MB
Total View : 4505 Views
DOWNLOAD

As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the