arXiv subjects

Adilbek Zaitov

Publications and source records attributed to Adilbek Zaitov.

2 recordsLinked to original sources

arXiv2018

Geometrical properties of the space of idempotent probability measures

We establish some geometrical properties of the space of idempotent probability measures. In particular, for a compact $X$ it is established that if the space $I_{3}(X)\backslash X$ is hereditary normally, then $X$ is metrizable; some subsets allocate of the space of idempotent probability measures which are, respectively, $Z$-sets, $\max$-$\mbox{plus}$-convex subsets, $G_δ$-sets.

math.GN↗

arXiv2018

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.

math.GN↗