Results 1 to 10 of about 124,673 (292)

On a type of generalized open sets [PDF]

Applied General Topology, 2011
In this paper, a new class of sets called μ-generalized closed (briefly μg-closed) sets in generalized topological spaces are introduced and studied. The class of all μg-closed sets is strictly larger than the class of all μ-closed sets (in the sense of ...
Bishwambhar Roy
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Semi Generalized Open Sets and Generalized Semi Closed Sets in Topological Spaces

International Journal of Analysis and Applications, 2020
In this paper we introduce a new class of semi generalized open sets, generalized semi closed sets in topological spaces, and studied some of its basic properties.
Abdelgabar Adam Hassan
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Between μ-b-open sets and μ-β-open sets in generalized topological spaces

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
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Generalized open sets of Minkowski space [PDF]

Mathematica Moravica, 2015
We consider the Euclidean topology and s-topology on n-dimensional Minkowski space and investigate the interior and closure of the space cone and perforated space cone with respect to these topologies.
Ersoy Soley, Bilgin Merve, Ince Ibrahim
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Corrigendum to "On generalized open sets"

Hacettepe Journal of Mathematics and Statistics, 2022
In this corrigendum, we show that Theorem 3.9, Theorem 2.9, Theorem 2.10(1) and Theorem 2.21(9)(10) given in the paper entitled ``On generalized open sets'' [Hacet. J. Math. Stat. 47(6) (2018), 1438-1446] are incorrect.
Serap ERDEM, Murad ÖZKOÇ, Faical ISSAKA   +2 more
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More properties of generalized open sets in generalized topological spaces

Demonstratio 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.
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Generalized open sets in grill N-topology

Applied General Topology, 2017
The aim of this paper is to give a systematic development of grill N-topological spaces and discuss a few properties of local function. We build a topology for the corresponding grill by using the local function.
M. Lellis Thivagar, Ivan L Reilly, M. Arockia Dasan, V. Ramesh   +3 more
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Unifying Concepts in Topology: Analyzing Sg∗-Open and Sg∗-Closed Sets in Generalized Primal Topological Spaces

Journal 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, Tayyab Kamran, Mariam Imtiaz, Umar Ishtiaq, Ioan-Lucian Popa   +4 more
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OpenGAN: Open-Set Recognition via Open Data Generation [PDF]

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2021
ICCV 2021 Best Paper Honorable ...
Shu Kong, Deva Ramanan
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Generalized b Closed Sets and Generalized b Open Sets in Fuzzy Neutrosophic bi-Topological Spaces [PDF]

Neutrosophic 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
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