Results 41 to 50 of about 94 (92)
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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β-open and β-closed sets in ditopological texture spaces
, 2010 The authors define ?-open and ?-closed sets in a ditopological texture space and go on to study ?-compactness and ?-cocompactness, ?-stability and ?-costability, and ?-dicompactness. 2010 Mathematics Subject Classifications. 54A05, 54C10. .
Şenol Dost +5 more
core +1 more source
κ-strong sequences and the existence of generalized independent families
Open Mathematics, 2017 In this paper we will show some relations between generalized versions of strong sequences introduced by Efimov in 1965 and independent families. We also show some inequalities between cardinal invariants associated with these both notions.
Jureczko Joanna
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Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we continue studying the properties of weak soft axioms discussed and studied in [8]. We initiate and explore soft semi-R0 spaces at soft point in terms of soft semi-open sets and study its characterizations and properties.
Hussain Sabir
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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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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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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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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
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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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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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