p-Compact, p-Bounded and p-Complete

Rigoberto Vera Mendoza

Abstract

In this paper the nonstandard theory of uniform topological spaces isapplied with two main objectives: (1) to give a nonstandard treatmentof Bernstein’s concept of p-compactness with additional results, (2) tointroduce three new concepts (p,q)-compactness, p-totally boundednessand p-completeness. I prove some facts about them and how these threeconcepts are related with p-compactness.

Keywords

Monad; p-compact; p-totally bounded and p-complete space

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References

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Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt