Merotopies associated with quasi-uniformities
Submitted: 2014-05-27
|Accepted: 2014-05-27
|Published: 2000-10-01
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Keywords:
Quasi-uniformity, Merotopy, Semi-symmetric, Transitive
Supporting agencies:
Hungarian Foundation for Scientific Research
grant Nº T032042
Abstract:
To an arbitrary quasi-uniformity on the set X, a merotopy on X is assigned. There are results concerning the question whether this merotopy is compatible with the topology induced by the quasi-uniformity end whether the closure operation induced by the merotopy, admits a compatible uniformity. More precise results are obtained in the case of transitive quasi-uniformities.
