Results 31 to 40 of about 71 (71)
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 203-212, 2000., 2000 We will continue the study of p‐closed spaces. This class of spaces is strictly placed between the class of strongly compact spaces and the class of quasi‐H‐closed spaces. We will provide new characterizations of p‐closed spaces and investigate their relationships with some other classes of topological spaces.
Julian Dontchev +2 more
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Rough quotient in topological rough sets
Open Mathematics, 2019 In this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first, second and third rough isomorphism theorems and other related results.
Alharbi Nof +3 more
doaj +1 more source
Properties of Supra Equivalent Subsets and Their Applications via Supra R0 Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.The extension of a topology by weakening its axioms is highly significant, as it generates new frameworks that preserve certain topological properties while allowing for the modeling of several practical problems. In this paper, we introduce the concept of supra equivalent subsets in the framework of a supra topological space and look at the main ...
Tareq M. Al-Shami +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 5, Page 295-304, 2000., 2000 This paper gives a further development of p‐regular completion theory, including a study of p‐regular Reed completions, the role of diagonal axioms, and the relationship between p‐regular and p‐topological completions.
Darrell C. Kent, Jennifer Wig
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce a novel type of open set, called βθ−I‐open sets, constructed by means of an ideal on a topological space. These sets broaden the classical definition of openness. Employing these ideal‐based generalized open sets, we investigate essential topological properties—including connectedness, hyperconnectedness, and extremal ...
Naeem Nisar Sheikh +3 more
wiley +1 more source
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
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
wiley +1 more source
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
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
Quasiorders, principal topologies, and partially ordered partitions
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 221-234, 1998., 1997 The quasiorders on a set X are equivalent to the topologies on X which are closed under arbitrary intersections. We consider the quaisorders on X to be partial orders on the blocks of a partition of X and use this approach to survey some fundamental results on the lattice of quasiorders on X.
Thomas A. Richmond
wiley +1 more source