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Completions of ⊤-quasi-Cauchy spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 20، شماره 7، مرداد و شهریور 2023، صفحه 71-84 اصل مقاله (230.2 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7631 | ||
| نویسنده | ||
| G. Jager* | ||
| University of Applied Sciences Stralsund, Stralsund, Germany | ||
| چکیده | ||
| In the category of ⊤-quasi-Cauchy spaces, completeness and completion can be studied in a non-symmetric framework encompassing ⊤-quasi-uniform (limit) spaces. Based on constructions by E.E. Reed in the category of Cauchy spaces and, recently, by L. Reid and G. Richardson in the category of ⊤-Cauchy spaces, we give a family of completions for a non-complete ⊤-quasi Cauchy space. As particular instances we study pretopological and topological completions of ⊤-quasi-Cauchy spaces. | ||
| کلیدواژه‌ها | ||
| Fuzzy topology؛ pair ⊤-filter؛ Cauchy pair ⊤-filter؛ ⊤-quasi-Cauchy space؛ ⊤-quasi-uniform space؛ ⊤-quasi uniform limit space؛ L-metric space | ||
| مراجع | ||
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