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arXiv · 1512.05802

Wilder continua and their subfamilies as coanalytic absorbers

Konrad Królicki·Paweł Krupski
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Abstract

The family of Wilder continua in cubes of dimension > 2 and its two subfamilies-of continuum-wise Wilder continua and of hereditarily arcwise connected continua-are recognized as coanalytic absorbers in the hyperspace of subcontinua of the cubes. In particular, each of them is homeomorphic to the set of all nonempty countable closed subsets of the unit interval.

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BibTeXRIS

Konrad Królicki, Paweł Krupski. 2015-12-17. Wilder continua and their subfamilies as coanalytic absorbers. https://doi.org/10.1016/j.topol.2017.02.012

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