Hausdorff closed extensions of pre-uniform spaces | Zendy

Adalberto García-Máynez | Zendy; Rubén Mancio-Toledo | Zendy

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Hausdorff closed extensions of pre-uniform spaces

Author(s) -

Adalberto García-Máynez,

Rubén Mancio-Toledo

Publication year - 2013

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2012.1635

Subject(s) - mathematics , hausdorff space , urysohn and completely hausdorff spaces , extension (predicate logic) , hausdorff distance , equivalence (formal languages) , normal space , regular space , pure mathematics , paracompact space , hausdorff measure , discrete mathematics , hausdorff dimension , topological space , mathematical analysis , topological vector space , computer science , programming language

The family of densely finite open covers of a Hausdorff space X determines a completable pre-uniformity on X and the canonical completion X is Hausdorff closed. We compare X with the Katetov extension kX of X and give sufficient conditions for the non-equivalence of kX and X

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