Mappings on the dyadic solenoid

Jan M. Aarts; Robbert J. Fokkink

Displaying similar documents to “Mappings on the dyadic solenoid”

Induced near-homeomorphisms

Włodzimierz J. Charatonik (2000)

Commentationes Mathematicae Universitatis Carolinae

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We construct examples of mappings $f$ and $g$ between locally connected continua such that $2^{f}$ and $C (f)$ are near-homeomorphisms while $f$ is not, and $2^{g}$ is a near-homeomorphism, while $g$ and $C (g)$ are not. Similar examples for refinable mappings are constructed.

The existence of local homeomorphisms of degree $n > 1$ on local dendrites

Stanisław Miklos (1993)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we characterize local dendrites which are the images of themselves under local homeomorphisms of degree $n$ for each positive integer $n$ .

Characterization of $ω$ -limit sets of continuous maps of the circle

David Pokluda (2002)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we extend results of Blokh, Bruckner, Humke and Sm’ıtal [Trans. Amer. Math. Soc. (1996), 1357–1372] about characterization of $ω$ -limit sets from the class $𝒞 (I, I)$ of continuous maps of the interval to the class $𝒞 (𝕊, 𝕊)$ of continuous maps of the circle. Among others we give geometric characterization of $ω$ -limit sets and then we prove that the family of $ω$ -limit sets is closed with respect to the Hausdorff metric.

Displaying similar documents to “Mappings on the dyadic solenoid”

Induced near-homeomorphisms

The existence of local homeomorphisms of degree n > 1 on local dendrites

Characterization of ω -limit sets of continuous maps of the circle

The existence of local homeomorphisms of degree $n > 1$ on local dendrites

Characterization of $ω$ -limit sets of continuous maps of the circle