Topological method for detecting fixed points of maps homotopic to selfmaps of compact ENRs

DOI10.1090/S0002-9939-2012-11295-XzbMath1268.37016MaRDI QIDQ4911560

Klaudiusz Wójcik, Grzegorz Kosiorowski

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

fixed point indexLefschetz numberWazewski setrelative Nielsen number

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Index theory for dynamical systems, Morse-Conley indices (37B30)

Cites Work

• A relative Nielsen number
• On the location of fixed points on pairs of spaces
• Lectures on Nielsen fixed point theory
• Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations
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