Results 1 to 10 of about 4,459,758 (177)
A new class between theta open sets and theta omega open sets [PDF]
Heliyon, 2021 We define θN-closure operator as a new topological operator which lies between the θ-closure and the θω-closure. Some relationships between this new operator and each of θ-closure, θω-closure, and usual closure are obtained.
Samer Al Ghour, Souad Al-Zoubi
doaj +4 more sources
Open-independent, open-locating-dominating sets [PDF]
Electronic Journal of Graph Theory and Applications, 2017 A distinguishing set for a graph G = (V, E) is a dominating set D, each vertex $v \in D$ being the location of some form of a locating device, from which one can detect and precisely identify any given "intruder" vertex in V(G).
Suk J. Seo, Peter J. Slater
doaj +5 more sources
𝐿-open sets and 𝐿 ∗ -open sets [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 As new classes of generalized open sets and generalized continuous functions, the notions of 𝐿-open sets, 𝐿 ∗ -open sets, 𝐿-continuous functions, 𝐿 ∗ -continuous functions and weakly 𝐿 ∗ -continuous functions are introduced and investigated. It is
Samer Al Ghour, Khaled Abufarhan
doaj +2 more sources
Between μ-b-open sets and μ-β-open sets in generalized topological spaces [PDF]
Heliyon, 2023 We introduce and study a new class of generalized open sets in generalized topological spaces, called μ‾-open sets. μ‾-open sets are strictly placed between μ-b-open sets and μ-β-open sets.
Mohammad S. Sarsak
doaj +2 more sources
Between Open Sets and Semi-Open Sets
Universitas Scientiarum, 2018 We introduce and investigate ωs-open sets as a new class of sets which lies strictly between open sets and semi-open sets. Then we use ωs-open sets to introduce ωs -continuous functions as a new class of functions between continuous functions and semi ...
Samer Al Ghour, Kafa Mansur
doaj +6 more sources
On a class of sets between a-open sets and gδ-open sets
Ratio Mathematica, 2020 In this paper, a new class of sets called Da-open sets are introduced and investigated with the help of gδ-open and δ-closed sets. Relationships between this new class and other related classes of sets are established and as an application Da-continuous ...
Jagadeesh B. Toranagatti
doaj +2 more sources
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 +3 more sources
Sunflowers of Convex Open Sets
Advances in Applied Mathematics, 2019 A sunflower is a collection of sets $\{U_1,\ldots, U_n\}$ such that the pairwise intersection $U_i\cap U_j$ is the same for all choices of distinct $i$ and $j$.
Jeffs, R. Amzi
core +4 more sources
Cocompact Open Sets and Continuity [PDF]
Abstract and Applied Analysis, 2012 Compact subsets of a topological space are used to define coc-open sets as new generalized open sets, and then coc-open sets are used to define (coc)∗-open sets as another type of generalized open sets.
Samer Al Ghour, Salti Samarah
doaj +3 more sources
Ibn Al-Haitham Journal for Pure and Applied SciencesThis study investigates new concepts in grill topological spaces by employing specified sets in which the α-open sets are defined. Many scholars, such as Choquet, who is considered the first to lay the foundation stone for the concept of a grill and ...
Tabarak Ayad Ali +2 more
doaj +2 more sources