Results 1 to 10 of about 1,529 (81)

On some generated soft topological spaces and soft homogeneity

Heliyon, 2019
We introduce soft homogeneity as an extension of homogeneity in ordinary topological spaces. Based on the generated soft topology of a given indexed family of classical topologies inspite of a one topology given by Terepeta in [16], we investigate soft ...
Samer Al Ghour, Awatef Bin-Saadon
doaj   +3 more sources

Lower density soft operators and density soft topologies [PDF]

Heliyon
The classical density topology is derived from the Lebesgue density points of Lebesgue measurable sets. Wilczynski proposed a more general scheme for defining density points.
Zanyar A. Ameen, Mesfer H. Alqahtani, Ohud F. Alghamdi   +2 more
doaj   +2 more sources

On Soft Generalized ω-Closed Sets and Soft T_1/2 Spaces in Soft Topological Spaces

Axioms, 2022
In this paper, we define a soft generalized ω-closed set, which is a generalization of both the soft ω-closed set and the soft generalized closed set. We show that the classes of generalized closed sets and generalized ω-closed sets coincide in soft anti-
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

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

Soft Semi ω-Open Sets

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

Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗b Open Sets

Journal of Function Spaces, 2021
In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗b open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗bopen set is generated with the help of neutrosophic soft semiopen and neutrosophic ...
Arif Mehmood, Saleem Abdullah, Mohammed M. Al-Shomrani, Muhammad Imran Khan, Orawit Thinnukool   +4 more
doaj   +1 more source

Between the Classes of Soft Open Sets and Soft Omega Open Sets

Mathematics, 2022
In this paper, we define the class of soft ω0-open sets. We show that this class forms a soft topology that is strictly between the classes of soft open sets and soft ω-open sets, and we provide some sufficient conditions for the equality of the three ...
Samer Al Ghour
doaj   +1 more source

Some Modifications of Pairwise Soft Sets and Some of Their Related Concepts

Mathematics, 2021
In this paper, we first define soft u-open sets and soft s-open as two new classes of soft sets on soft bitopological spaces. We show that the class of soft p-open sets lies strictly between these classes, and we give several sufficient conditions for ...
Samer Al Ghour
doaj   +1 more source

Soft ω_p-Open Sets and Soft ω_p-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