Merotopies associated with quasi-uniformities

Ákos Császár

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.


Keywords

Quasi-uniformity; Merotopy; Semi-symmetric; Transitive

Subject classification

54E15; 54E17

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1. In memoriam Ákos Császár (1924–2017)
P. Komjáth
Acta Mathematica Hungarica  vol: 158  issue: 2  first page: 251  year: 2019  
doi: 10.1007/s10474-019-00956-z



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Universitat Politècnica de València

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