Davron Jumaev

Hyperspaces of superparacompact spaces and continuous maps

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