p-Compact, p-Bounded and p-Complete

Rigoberto Vera Mendoza


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.


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

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Universitat Politècnica de València

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