Spaces where all closed sets are $\alpha$-limit sets

Topology and its Applications 310 (2022), Art. No. 108035 Metrizable spaces are studied in which every closed set is an $\alpha$-limit set for some continuous map and some point. It is shown that this property is enjoyed by every space containing sufficiently many arcs (formalized in the notion of a...

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Hauptverfasser: Hantáková, Jana, Roth, Samuel, Snoha, Ľubomír
Format: Artikel
Sprache:eng
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