Topological properties of hyperspaces

Authors

Ruzinazar Beshimov, National University of UzbekistanFollow
Dilnora Safarova, National University of UzbekistanFollow

Abstract

In the work, it is given the normal functor F acting in the category of compacts and their continuous mappings. This functor does not preserve the Souslin number (or hereditary cellularity), the hereditary density, the hereditary π-weight and the hereditary Shanin number, the hereditary caliber, the hereditary precaliber, the hereditary preshanin number, the hereditary weak density, the hereditary Lindelöf number, and the hereditary extent of a compact. The example of the normal functor and the compact of Aleksandorv's two arrows are given. We study the action of functors exp_n, exp_ω, exp_c and exp on finally compact, hereditarily disconnected, strongly zero-dimensional, extremely disconnected, paracompact spaces.

First Page

15

Last Page

35

References

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Recommended Citation

Beshimov, Ruzinazar and Safarova, Dilnora (2019) "Topological properties of hyperspaces," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 2: Iss. 1, Article 2.
DOI: https://doi.org/10.56017/2181-1318.1017