Fixed Point Properties of Product Spaces.
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
A self-map FY1 x Y2 maps to Y1 x Y2 of a product space induces selfmaps F1Y1 maps to Y1, F2Y2 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 LF LF1 . LF sup m2 for some m, where F sup m F o F o ... o F. The proof is algebraic.
- Theoretical Mathematics