On Rigid Minimal Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09845-4
Abstract: A compact space X is said to be minimal if there exists a map $$f:X\rightarrow X$$ f : X → X such that the forward orbit of any point is dense in X . We… read more here.
Keywords: minimal spaces; homeomorphism; minimal homeomorphism; rigid minimal ... See more keywords
Descriptive set theory for expansive systems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.12.014
Abstract: Abstract Kato [5] and Artigue [3] merged the theory of expansive systems [10] and foliations with the continuum theory [14] . Here we merge the expansive systems but with the descriptive set theory [6] instead.… read more here.
Keywords: metric space; homeomorphism; meagre expansive; expansive systems ... See more keywords
The Klein bottle has stably unbounded homeomorphism group
Sign Up to like & getrecommendations! Published in 2024 at "Glasgow Mathematical Journal"
DOI: 10.1017/s0017089525000084
Abstract: Abstract Using a recent result of Bowden, Hensel and Webb, we prove the existence of a homeomorphism with positive stable commutator length in the group of homeomorphisms of the Klein bottle which are isotopic to… read more here.
Keywords: homeomorphism; group; unbounded homeomorphism; stably unbounded ... See more keywords
A transitive homeomorphism on the Lelek fan
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2023.2208242
Abstract: Let $X$ be a continuum and let $\varphi:X\rightarrow X$ be a homeomorphism. To construct a dynamical system $(X,\varphi)$ with interesting dynamical properties, the continuum $X$ often needs to have some complicated topological structure. In this… read more here.
Keywords: homeomorphism lelek; transitive homeomorphism; lelek fan; homeomorphism ... See more keywords