p -Regularity and p -Regular Modification in ⊤-Convergence Spaces

Qiu Jin, Lingqiang Li and Guangming Lang
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Qiu Jin: Department of Mathematics, Liaocheng University, Liaocheng 252059, China
Lingqiang Li: Department of Mathematics, Liaocheng University, Liaocheng 252059, China
Guangming Lang: School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, China

Mathematics, 2019, vol. 7, issue 4, 1-14

Abstract: Fuzzy convergence spaces are extensions of convergence spaces. ⊤-convergence spaces are important fuzzy convergence spaces. In this paper, p -regularity (a relative regularity) in ⊤-convergence spaces is discussed by two equivalent approaches. In addition, lower and upper p -regular modifications in ⊤-convergence spaces are further investigated and studied. Particularly, it is shown that lower (resp., upper) p -regular modification and final (resp., initial) structures have good compatibility.

Keywords: fuzzy topology; fuzzy convergence; ⊤-convergence space; regularity (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 (1)

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