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arXiv · 1811.05347

Hyperspaces of superparacompact spaces and continuous maps

Adilbek Zaitov·Davron Jumaev
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Abstract

In the present paper we establish that the space $\exp_\beta X$ of compact subsets of a Tychonoff space $X$ is superparacompact iff $X$ is so. Further, we prove the Tychonoff map $\exp_{\beta} f:\ \exp_{\beta} X\rightarrow \exp_{\beta} Y$ is superparacompact iff a given map $f:\ X\rightarrow Y$ is superparacompact.

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Adilbek Zaitov, Davron Jumaev. 2018-10-29. Hyperspaces of superparacompact spaces and continuous maps. https://arxiv.org/abs/1811.05347

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