On completeness of quasi‐pseudometric spaces
Seithuti P. Moshokoa
Abstract
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Seithuti P. Moshokoa
Abstract
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We discuss completeness in terms of a notion of absolute closure. This will be done in the context of separated quasi‐pseudometric spaces and bitopological spaces. The notion is equivalent to the classical notion of completeness when restricted to the class of metric spaces.
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We discuss completeness in terms of a notion of absolute closure. This will be done in the context of separated quasi‐pseudometric spaces and bitopological spaces. The notion is equivalent to the classical notion of completeness when restricted to the class of metric spaces.
Key concepts: Mathematics, Completeness (order theory), Closure (psychology), Metric space, Class (philosophy), Pure mathematics, Context (archaeology), Discrete mathematics