Fixed Point Properties of Product Spaces.
Abstract
A self-map F:Y1 x Y2 maps to Y1 x Y2 of a product space induces selfmaps F1:Y1 maps to Y1, F2:Y2 maps to Y2 of the axes. If Y2 is a projective space (or cohomologically similar) then the algebraic number of fixed points is shown to satisfy L(F) = L(F1) . L((F sup m)2) for some m, where F sup m = F o F o ... o F. The proof is algebraic.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1974
- Accession Number
- ADA003716
Entities
People
- Albrecht Dold
Organizations
- University of Wisconsin–Madison