Topological method for detecting fixed points of maps homotopic to selfmaps of compact ENRs
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- by Grzegorz Kosiorowski and Klaudiusz Wójcik PDF
- Proc. Amer. Math. Soc. 141 (2013), 245-252 Request permission
Abstract:
Assume that $X$ is a metric space and $B\subset X$ is compact. Let $f:B\to X$ be a continuous map homotopic to $g$, the selfmap of $B$. The aim of this paper is to present a method for detecting fixed points of $f$. It is based on the notion of the Ważewski set for the homotopy $F$ between $g$ and $f$.References
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Additional Information
- Grzegorz Kosiorowski
- Affiliation: Instytut Matematyki Uniwersytetu Jagiellońskiego, ul. Stanisława Łojasiewicza 6, 30-348 Kraków, Poland
- Address at time of publication: Katedra Matematyki Uniwersytetu Ekonomicznego w Krakowie, ul. Rakowicka 27, 31-520 Kraków, Poland
- Email: Grzegorz.Kosiorowski@gmail.com, Grzegorz.Kosiorowski@uek.krakow.pl
- Klaudiusz Wójcik
- Affiliation: Instytut Matematyki Uniwersytetu Jagiellońskiego, ul. Stanisława Łojasiewicza 6, 30-348 Kraków, Poland
- Received by editor(s): November 1, 2010
- Received by editor(s) in revised form: June 3, 2011, and June 9, 2011
- Published electronically: May 9, 2012
- Additional Notes: This work was co-financed with budget funds allocated to education in 2010-2011 as a research project by the grant N N201 411439.
- Communicated by: Yingfei Yi
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 245-252
- MSC (2000): Primary 37C25, 58J20; Secondary 32S50
- DOI: https://doi.org/10.1090/S0002-9939-2012-11295-X
- MathSciNet review: 2988726