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What is Uniform Lefschetz Fixed-Point Theory about?

This document presents the development of uniform Lefschetz fixed-point theory for noncompact manifolds of bounded geometry and uniformly continuous maps. It defines the uniform Lefschetz class and establishes conditions under which a uniformly continuous map is homotopic to a strongly fixed-point free map, introducing a new cohomology called uniform bounded cohomology. The paper also extends classical results like the Lefschetz-Hopf theorem to noncompact settings and discusses the implications for various

Author

rahul basu

Language

EN