Results 131 to 140 of about 55,344 (171)

Lefschetz Fixed Point Theorem and Intersection Homology

open access: closed, 1984
This article is a summary of the essential ingredients in [3]. We will consider a placid self-map with isolated fixed points on a subanalytic pseudomanifold and show that the trace of the induced homomorphism on intersection homology may be interpreted as a sum of certain linking numbers at the fixed points.
Mark Goresky, Robert MacPherson
semanticscholar   +3 more sources

On the Lefschetz fixed point theorem for Random multivalued mappinngs

open access: closedLIBERTAS MATHEMATICA (new series), 2013
The aim of this paper is to prove the Lefschetz xed point theorem for random multivalued compact absorbing contractions on abssolute neighbourhood multiretracts (ANMR) spaces.
Ján Andres, Lech Górniewicz
semanticscholar   +3 more sources

The Lefschetz fixed point theorem and its application to asymptotic fixed point theorem for set-valued mappings

Journal of Fixed Point Theory and Applications, 2014
The authors consider the so-called admissible continuous set-valued maps with compact attractors and satisfying some compactness conditions stated in terms of measures of noncompactness and prove a general version of the Lefschetz-type fixed point theorem along with some corollaries.
Fakhar, Majid   +2 more
semanticscholar   +3 more sources

The Lefschetz Fixed Point Theorem for Involutions

1968
The purpose of this note is to show that the Lefschetz fixed point theorem holds for involutions on locally compact spaces. The Alexander-Spanier-Wallace cohomology with compact supports will be used. Let X be a locally compact space. The Lefschetz number Λ f of a map f: X → X is defined by $${A_{f}} = \sum\limits_{i} {{{\left( { - 1} \right)}^{i}}}
Hsu-Tung Ku, Mei-Chin Ku
openaire   +2 more sources

Multi-valued mappings and Lefschetz fixed point theorems

open access: closedMathematical Proceedings of the Cambridge Philosophical Society, 1970
By a multi-valued map from a space X to a space Y we mean a map which assigns to each point x in X a non-empty subset F(x) of Y. When X = Y, a point x in X is a fized point for F if x is in F(x).
Michael J. Powers
openalex   +3 more sources

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