Article

Uniformly linked space and its hyperspace

R. B. BeshimovDepartment of Geometry and topology, National University of Uzbekistan, Tashkent, 100174, UzbekistanDilnora SafarovaDepartment of Geometry and topology, National University of Uzbekistan, Tashkent, 100174, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In this paper, we will study the connection between a uniformly connected, uniformly pseudocompact, P-precompact and its hyperspace. It is proved that if a uniform space (X, 𝒰) is uniformly pseudocompact iff (expc X, expc 𝒰) is uniformly pseudocompact. It is also shown that if a uniform space (X, 𝒰) is P-precompact, then a uniform space (expc X, expc 𝒰) is P-precompact.

Topics

Advanced Topology and Set Theory Advanced Banach Space Theory Advanced Operator Algebra Research

Identifiers

DOI: 10.1063/5.0202939

Citations and references

Cited by 07 references

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