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

Autor:	Gunther Jäger
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fuzzy topology pair τ-filter cuachy pair τ-filter τ-quasi-cauchy space τ-quasi-uniform space l-metric space Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 24, Iss 1, Pp 205-227 (2023)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2023.18783
Popis:	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 completion for a non-complete Τ-quasi-Cauchy space. In the special case of symmetry, Τ-quasi-Cauchy spaces can be identified with Τ-Cauchy spaces.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/175cdc8351a64bf59458d796a341f705 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF