Geodesic
L-convex quasi-uniform spaces
Filomat, Tome 36 (2022) no. 20, p. 6867

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DOI

In this paper, L-convex β∗-remotehood system is introduced and some characterizations of both L-convexity and L-convex remotehood system are obtained. Further, β∗-remote mapping is presented and some of its properties are investigated. Based on this, L-convex quasi-uniformity and L-convex quasi- uniformity preserving mapping are introduced. It is proved that L-convex quasi-uniform space and L- convex space are mutually induced. In addition, the category of L-convex spaces and the category of L-convex β∗-remotehood spaces can be embedded into the category of L-convex quasi-uniform spaces.
DOI : 10.2298/FIL2220867W
Classification : 54A40, 26A51
Keywords: L-convexity, L-convex β∗-remotehood system, L-convex quasi-uniformity, L-convex quasi-uniform preserving mapping 
Xiu-Yun Wu; Hui-Min Zhang. L-convex quasi-uniform spaces. Filomat, Tome 36 (2022) no. 20, p. 6867 . doi: 10.2298/FIL2220867W
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     author = {Xiu-Yun Wu and Hui-Min Zhang},
     title = {L-convex quasi-uniform spaces},
     journal = {Filomat},
     pages = {6867 },
     year = {2022},
     volume = {36},
     number = {20},
     doi = {10.2298/FIL2220867W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2220867W/}
}
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