Hyperspaces of Superparacompact Spaces and Continuous Maps
A. A. ZaitovTashkent institute of architecture and civil engineeringDavron JumaevTashkent institute of architecture and civil engineering, Tashkent, Uzbekistan
ABI
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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