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Diagonal conditions and uniformly continuous extension in $\top$-uniform limit spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 10، دوره 19، شماره 5، آذر و دی 2022، صفحه 131-145 اصل مقاله (227.48 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.7161 | ||
| نویسنده | ||
| G. Jager* | ||
| University of Applied Sciences Stralsund, Stralsund, Germany | ||
| چکیده | ||
| We study suitable diagonal conditions for $\top$-uniform limit spaces. A dual diagonal condition is shown to be a suitable axiom for uniform regularity. We characterize this regularity concept by closures of $L$-sets. We apply all these diagonal axioms and prove an extension theorem for uniformly continuous mappings defined on a dense subspace. | ||
| کلیدواژه‌ها | ||
| Topology؛ top-filter؛ uniform limit space؛ lattice-valued uniform convergence space؛ probabilistic uniform space؛ diagonal axiom؛ uniform regularity؛ extension of mappings | ||
| مراجع | ||
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