Results 1 to 10 of about 164,172 (115)

Between μ-b-open sets and μ-β-open sets in generalized topological spaces

open access: yesHeliyon, 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   +3 more sources

More properties of generalized open sets in generalized topological spaces

open access: yesDemonstratio Mathematica, 2022
Sarsak [M. S. Sarsak, On some properties of generalized open sets in generalized topological spaces, Demonstr. Math. 46 (2013), no. 2, 415–427] studied some properties of generalized open sets in generalized topological spaces (GTSs); the primary purpose
Sarsak Mohammad S.
doaj   +2 more sources

On μ-β-Lindelöf sets in generalized topological spaces

open access: yesHeliyon, 2023
We introduce and study μ-β-Lindelöf sets in generalized topological spaces (GTSs) as a subclass of both μ-semi-Lindelöf sets and strongly μ-Lindelöf sets. We also introduce and study a new type of generalized open sets in GTSs, called ωμ-β-open sets, and
Mohammad S. Sarsak
doaj   +3 more sources

Unifying Concepts in Topology: Analyzing Sg∗-Open and Sg∗-Closed Sets in Generalized Primal Topological Spaces

open access: yesJournal of Mathematics
This research introduces the concept of Sg∗-open and Sg∗-closed sets within the framework of primal topological spaces, extending the existing body of knowledge in topology. Initially, this paper reviews fundamental topological structures, including open
Muhammad Shahbaz   +4 more
doaj   +2 more sources

Neutrosophic Weakly Generalized open and Closed Sets [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
Smarandache presented and built up the new idea of Neutrosophic concepts from the Neutrosophic sets. A.A. Salama presented Neutrosophic topological spaces by utilizing the Neutrosophic sets.
R. Suresh , S. Palaniammal
doaj   +1 more source

Generalized b Closed Sets and Generalized b Open Sets in Fuzzy Neutrosophic bi-Topological Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
In this paper, the authors study and introduce a new class of sets called generalized b-closed sets and its complement generalized b-open sets via fuzzy neutrosophic bi-topological spaces. Also, we prove some theorem related to this definitions.
Fatimah M. Mohammed , Sarah W. Raheem
doaj   +1 more source

Generalized Open Sets in Neutrosophic Soft Bitopological Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
In this study, some generalized neutrosophic soft open sets are defined in neutrosophic soft bitopological spaces. Also, some theorems related to the subject have been given with their proofs and supported with examples for a better understanding of the ...
Sibel Demiralp, Hasan Dadas
doaj   +1 more source

Theory of Generalized Sets in Generalized Topological Spaces

open access: yesJournal of New Theory, 2021
Several specific types of generalized sets (briefly, g-T_g-sets in generalized topological spaces (briefly, T_g-spaces have been defined and investigated for various purposes from time to time in the literature of T_g-spaces.
Noor-ul-hacq Sookıa   +1 more
doaj   +1 more source

Neutrosophic Soft Generalized b-Closed Sets in Neutrosophic Soft Topological Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
The notion of neutrosophic soft generalized sets is introduced as a general mathematical tool that incorporates useful properties of both neutrosophic generalized sets and soft sets.
Alkan Özkan   +2 more
doaj   +1 more source

𝐿-open sets and 𝐿 ∗ -open sets [PDF]

open access: yesSongklanakarin 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   +1 more source

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