Results 51 to 60 of about 117 (96)
Some applications of minimal open sets
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 471-476, 2001., 2001 We characterize minimal open sets in topological spaces. We show that any nonempty subset of a minimal open set is pre‐open. As an application of a theory of minimal open sets, we obtain a sufficient condition for a locally finite space to be a pre‐Hausdorff space.
Fumie Nakaoka, Nobuyuki Oda
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On generalizations of regular‐Lindelöf spaces
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 535-539, 2001., 2001 We study nearly regular‐Lindelöf, almost regular‐Lindelöf and weakly regular‐Lindelöf spaces. Characterizations and some properties for these spaces are proposed. Relations among them are also studied.
Anwar Jabor Fawakhreh, Adem Kiliçman
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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
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Innovative Generalized Classes of Operators Inspired by Upper Soft Open Sets
Journal of Mathematics, Volume 2026, Issue 1, 2026.The generalization of soft open sets (so‐sets) plays an important vital role in applications of topological spaces. In this paper, we generalize nearly all the introduced weaker forms of so‐sets. Specially, we define a new class of so‐sets named upper soft open sets (upper‐so‐sets) and discuss its essential features.
Alaa M. Abd El-latif +3 more
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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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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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Separation Axioms via α^m-Kernel Set associated with α^m-Closed Set [PDF]
, 2015 In this paper, we introduce a new class of sets called -kernel set and study their basic properties in topological spaces.
Imran, Qays Hatem
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Continuous functions on bigeneralized topological spaces, Int [PDF]
, 2020 The purpose of this paper is to introduce the notions of (µ, µ ) (m,n) -continuous, almost (µ, µ ) (m,n) -continuous and weakly (µ, µ ) (m,n) -continuous functions on bigeneralized topological spaces. Basic properties, characterizations and relationships
Chokchai Viriyapong +2 more
core
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
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