Functional envelope of Cantor spaces
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DOI: 10.1007/s10114-016-6130-y
Abstract: Given a topological dynamical system (X, T), where X is a compact metric space and T a continuous selfmap of X. Denote by S(X) the space of all continuous selfmaps of X with the compactopen… read more here.
Keywords: subset cantor; closed subset; cantor; functional envelope ... See more keywords
Distortion and Tits alternative in smooth mapping class groups
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DOI: 10.1090/tran/7476
Abstract: In this article, we study the smooth mapping class group of a surface S relative to a given Cantor set, that is the group of isotopy classes of orientation-preserving smooth diffeomorphisms of S which preserve… read more here.
Keywords: smooth mapping; tits alternative; mapping class; cantor set ... See more keywords
Numbers with Almost all Convergents in a Cantor Set
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DOI: 10.4153/s0008439518000450
Abstract: Abstract In 1984, K. Mahler asked how well elements in the Cantor middle third set can be approximated by rational numbers from that set and by rational numbers outside of that set. We consider more… read more here.
Keywords: convergents cantor; numbers almost; cantor set; almost convergents ... See more keywords