Results 1 to 10 of about 21,088 (82)
Soft Topological Spaces Induced via Soft Relations
WSEAS TRANSACTIONS ON MATHEMATICS, 2021 Soft relation is a basic mathematical model that can be related to several real-life data. Throughout many fields, soft relations are used to build soft topological structures. In addition, soft topological constructs are generalized methods to calculate similarity and dissimilarity of objects.
Saeid Jafari +3 more
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A New Approach to Soft Continuity
Mathematics, 2023 The concept of continuity in topological spaces has a very important place. For this reason, a great deal of work has been done on continuity, and many generalizations of continuity have been obtained.
Sandeep Kaur +3 more
doaj +1 more source
Soft Regular Generalized ω-Closed Sets and Soft ω-T1/2 Spaces
Axioms, 2022 Soft rgω-closed sets are introduced as a new class of soft sets that strictly contain the classes of soft rg-closed sets and soft gω-closed sets. Furthermore, the behavior of soft rgω-closed sets with respect to soft unions, soft intersections, and soft ...
Samer Al Ghour
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Compactness on Soft Topological Ordered Spaces and Its Application on the Information System
Journal of Mathematics, 2021 It is well known every soft topological space induced from soft information system is soft compact. In this study, we integrate between soft compactness and partially ordered set to introduce new types of soft compactness on the finite spaces and ...
T. M. Al-shami
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Soft ω-regular open sets and soft nearly Lindelöfness
Heliyon, 2022 In this paper, we define the notion of “soft ω-regular openness,” which lies exactly between “soft regular openness” and “soft ω-openness.” Through soft ω-regular open sets, we introduce the notions of soft semi ω-regularity as a weaker form of soft semi
Samer Al Ghour
doaj +1 more source
Mathematics, 2021 In this paper, we introduce the class of soft semi ω-open sets of a soft topological space (X,τ,A), using soft ω-open sets. We show that the class of soft semi ω-open sets contains both the soft topology τω and the class of soft semi-open sets ...
Samer Al Ghour
doaj +1 more source
Weaker Forms of Soft Regular and Soft T2 Soft Topological Spaces
Mathematics, 2021 Soft ω-local indiscreetness as a weaker form of both soft local countability and soft local indiscreetness is introduced. Then soft ω-regularity as a weaker form of both soft regularity and soft ω-local indiscreetness is defined and investigated ...
Samer Al Ghour
doaj +1 more source
Infra Soft Compact Spaces and Application to Fixed Point Theorem
Journal of Function Spaces, 2021 Infra soft topology is one of the recent generalizations of soft topology which is closed under finite intersection. Herein, we contribute to this structure by presenting two kinds of soft covering properties, namely, infra soft compact and infra soft ...
Tareq M. Al-shami
doaj +1 more source
Soft ωp-Open Sets and Soft ωp-Continuity in Soft Topological Spaces
Mathematics, 2021 We define soft ωp-openness as a strong form of soft pre-openness. We prove that the class of soft ωp-open sets is closed under soft union and do not form a soft topology, in general. We prove that soft ωp-open sets which are countable are soft open sets,
Samer Al Ghour
doaj +1 more source
Poincar\'e-Verdier duality in o-minimal structures [PDF]
, 2010 Here we prove a Poincar\'e-Verdier duality theorem for the o-minimal sheaf cohomology with definably compact supports of definably normal, definably locally compact spaces in an arbitrary o-minimal structure.Comment: 23 pages, uses xy ...
Edmundo, Mario J., Prelli, Luca
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