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
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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.
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