Self-homeomorphisms and Degree $$\pm \,1$$±1 Self-maps on Lens Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00235-1
Abstract: In this article, we give a sufficient and necessary condition to that a degree $$\pm \,1$$±1 self-map on a $$(2n-1)$$(2n-1)-dimensional lens space for $$n \ge 2$$n≥2 is homotopic to a self-homeomorphism. In fact, we show… read more here.
Keywords: self maps; lens spaces; homeomorphisms degree; self homeomorphisms ... See more keywords
Length of a chain composed by certain monoids of self maps
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DOI: 10.1016/j.topol.2020.107498
Abstract: Abstract For a based CW-complex X, A ♯ n ( X ) is the submonoid of [ X , X ] which consists of all homotopy classes of self-maps of X that induce an automorphism… read more here.
Keywords: chain; self maps; length chain; chain composed ... See more keywords
Topological entropy of continuous self-maps on closed surfaces
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DOI: 10.1080/10236198.2019.1710141
Abstract: The objective of this work is to present sufficient conditions for having positive topological entropy for continuous self-maps defined on a closed surface by using the action of this map on the homological groups of… read more here.
Keywords: self maps; entropy continuous; topological entropy; maps closed ... See more keywords