Results 61 to 70 of about 117 (96)
p‐topological Cauchy completions
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 497-509, 1999., 1999 The duality between “regular” and “topological” as convergence space properties extends in a natural way to the more general properties “p‐regular” and “p‐topological.” Since earlier papers have investigated regular, p‐regular, and topological Cauchy completions, we hereby initiate a study of p‐topological Cauchy completions.
J. Wig, D. C. Kent
wiley +1 more source
Degrees of (L, M)-fuzzy bornologies
Open MathematicsThis article is devoted to present the degree to which a mapping defined from LX{L}^{X} to M,M, which is an (L,M)\left(L,M)-fuzzy bornology in the sense of Liang et al.
Çetkin Vildan
doaj +1 more source
On Pre Generalızed Pre Regular Weakly Closed Sets in Topologıcal Spaces [PDF]
, 2020 In this paper a new class of sets called pre generalized pre regular weakly closed (briefly pgprw-closed) sets in topological spaces is introduced and studied. A subset A of a topological space (X, τሻ is called pgprw-closed if U contains pre closure of A
core
Connectedness via Primal Topological Spaces With Applications of Primals to Rough Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.In topology, connectedness provides insight into how a space is “in one piece,” rather than being split into disjoint parts. Its significance can be seen through its various applications, such as understanding the nature of solutions to differential equations, the intermediate value theorem, and attaining a maximum and minimum for continuous real ...
Murad Özkoç +4 more
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A note on some applications of semi‐open sets
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 205-207, 1998., 1996 The object of the present paper is to study the well known notions of semi‐closure, semiinterior, semi‐frontier and semi‐exterior of a set using the concept of semi‐open sets. A semi‐isolated point of a set is also defined and studied.
T. M. Nour
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Semi-Hurewicz-Type properties in ditopological texture spaces
Open Mathematics, 2018 In this paper we will define and discuss semi-Hurewicz type covering properties in ditopological texture spaces. We consider the behaviour of semi-Hurewicz and co-semi-Hurewicz selection properties under direlation and difunction between ditopological ...
Ullah Hafiz, Khan Moiz ud Din
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Path-induced closure operators on graphs for defining digital Jordan surfaces
Open Mathematics, 2019 Given a simple graph with the vertex set X, we discuss a closure operator on X induced by a set of paths with identical lengths in the graph. We introduce a certain set of paths of the same length in the 2-adjacency graph on the digital line ℤ and ...
Šlapal Josef
doaj +1 more source
On New Types of Weakly Nano Open Functions [PDF]
, 2017 In this paper, we must utilize the ideas of a-open and a-open sets to characterize some new types of weakly nano open functions such as; a-open functions, a*-open functions, a**-open functions,
Abdulkadhim, Murtadha M.
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-Generalized b- Closed Sets in Topological Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper we introduce a new class of sets called -generalized b- closed (briefly gb closed) sets. We study some of its basic properties. This class of sets is strictly placed between the class of gp- closed sets and the class of gsp- closed ...
A.K. Al-Obiadi
doaj
Galois connections between sets of paths and closure operators in simple graphs
Open Mathematics, 2018 For every positive integer n,we introduce and discuss an isotone Galois connection between the sets of paths of lengths n in a simple graph and the closure operators on the (vertex set of the) graph.
Šlapal Josef
doaj +1 more source