p -Topologicalness—A Relative Topologicalness in ?-Convergence Spaces

Lingqiang Li
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Lingqiang Li: Department of Mathematics, Liaocheng University, Liaocheng 252059, China

Mathematics, 2019, vol. 7, issue 3, 1-18

Abstract: In this paper, p -topologicalness (a relative topologicalness) in ?-convergence spaces are studied through two equivalent approaches. One approach generalizes the Fischer’s diagonal condition, the other approach extends the Gähler’s neighborhood condition. Then the relationships between p -topologicalness in ?-convergence spaces and p -topologicalness in stratified L -generalized convergence spaces are established. Furthermore, the lower and upper p -topological modifications in ?-convergence spaces are also defined and discussed. In particular, it is proved that the lower (resp., upper) p -topological modification behaves reasonably well relative to final (resp., initial) structures.

Keywords: fuzzy topology; fuzzy convergence; lattice-valued convergence; ?-convergence space; relative topologicalness; p-topologcalness; diagonal condition; neighborhood condition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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