Diagram Cohomology and Isovariant Homotopy Theory is popular PDF and ePub book, written by Giora Dula in 1994, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Diagram Cohomology and Isovariant Homotopy Theory can be Read Online from any device for your convenience.
Diagram Cohomology and Isovariant Homotopy Theory Book PDF Summary
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.
Detail Book of Diagram Cohomology and Isovariant Homotopy Theory PDF
- Author : Giora Dula
- Release : 20 September 1994
- Publisher : American Mathematical Soc.
- ISBN : 9780821825891
- Genre : Mathematics
- Total Page : 97 pages
- Language : English
- PDF File Size : 11,7 Mb
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