Spaces where all closed sets are α-limit sets
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DOI: 10.1016/j.topol.2022.108035
Abstract: Metrizable spaces are studied in which every closed set is an α-limit set for some continuous map and some point. It is shown that this property is enjoyed by every space containing sufficiently many arcs… read more here.
Keywords: spaces closed; sets limit; limit sets; closed sets ... See more keywords
Hölder Spaces on Closed Curves
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DOI: 10.1134/s1995080218090391
Abstract: Let Γ be a closed Jordan curve on the complex plane dividing it onto domains D+ and D−, ∞ ∈ D−. The Hölder space Hv (Γ) is the space of functions satisfying the Hölder condition… read more here.
Keywords: lder spaces; spaces closed; closed curves;