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CONNECTING T AND LATTICE-VALUED CONVERGENCES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 11، دوره 15، شماره 4، مهر و آبان 2018، صفحه 151-169 اصل مقاله (477.14 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2018.4122 | ||
| نویسندگان | ||
| Lyall Reid* ؛ Gary Richardson | ||
| Department of Mathematics, University of Central Florida, 4393 Andromeda Loop N, Orlando, FL 32816, United States | ||
| چکیده | ||
| $\top$-filters can be used to define $\top$-convergence spaces in the lattice-valued context. Connections between $\top$-convergence spaces and lattice-valued convergence spaces are given. Regularity of a $\top$-convergence space has recently been defined and studied by Fang and Yue. An equivalent characterization is given in the present work in terms of convergence of closures of $\top$-filters. Moreover, a compactification of a $\top$-convergence space is constructed whenever $L$ is a complete Boolean algebra. | ||
| کلیدواژهها | ||
| Lattice-valued convergence؛ $top$-convergence spaces؛ Regularity؛ Compactification؛ Topological | ||
| مراجع | ||
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