Hyperspaces of Superparacompact Spaces and Continuous Maps

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 s...

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Bibliographic Details
Main Authors: Adilbek Zaitov, Davron İlxomovich Jumaev
Format: Article
Language:English
Published: Emrah Evren KARA 2019-06-01
Series:Universal Journal of Mathematics and Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/746865