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Remarks on completeness of lattice-valued Cauchy spaces | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 7، دوره 12، شماره 4، آبان 2015، صفحه 123-132 اصل مقاله (305.77 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2088 | ||
نویسنده | ||
Gunther Jager ![]() | ||
School of Mechanical Engineering, University of Applied Sciences Stralsund, 18435 Stralsund, Germany | ||
چکیده | ||
We study different completeness definitions for two categories of lattice-valued Cauchy spaces and the relations between these definitions. We also show the equivalence of a so-called completion axiom and the existence of a completion. | ||
کلیدواژهها | ||
$L$-topology؛ $L$-Cauchy space؛ completeness؛ Completion | ||
مراجع | ||
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