The notions of closedness and D-connectedness in quantale-valued approach spaces | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 8، دوره 12، شماره 1، فروردین 2020، صفحه 149-173 اصل مقاله (669.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.29252/cgasa.12.1.149 | ||
| نویسندگان | ||
| Muhammad Qasim1؛ Samed Ozkan2 | ||
| 1Department of Mathematics, School of Natural Sciences, National University of Sciences & Technology, Islamabad. | ||
| 2Department of Mathematics, Hacı Bektaş Veli University, Nevşehir, Turkey | ||
| چکیده | ||
| In this paper, we characterize local $T_{0}$ and $T_{1}$ quantale-valued gauge spaces, show how these concepts are related to each other and apply them to $\mathcal{L}$-approach distance spaces and $\mathcal{L}$-approach system spaces. Furthermore, we give the characterization of a closed point and $D$-connectedness in quantale-valued gauge spaces. Finally, we compare all these concepts to each other. | ||
| کلیدواژهها | ||
| $\mathcal{L}$-approach distance space؛ $\mathcal{L}$-gauge space؛ topological category؛ separation؛ closedness؛ D-connectedness | ||
| مراجع | ||
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