Τ-quasi-Cauchy spaces - a non-symmetric theory of completeness and completion

Based on the concept of Cauchy pair Τ-filters, we develop an axiomatic theory of completeness for non-symmetric spaces, such as Τ-quasi-uniform (limit) spaces or L-metric spaces. We show that the category of Τ-quasi-Cauchy spaces is topological and Cartesian closed and we construct a finest completi...

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Autore principale:	Gunther Jäger
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	Universitat Politècnica de València 2023-04-01
Serie:	Applied General Topology
Soggetti:	fuzzy topology pair τ-filter cuachy pair τ-filter τ-quasi-cauchy space τ-quasi-uniform space l-metric space
Accesso online:	https://polipapers.upv.es/index.php/AGT/article/view/18783
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