Results 21 to 30 of about 19,304,813 (283)
Some properties of maximal open sets [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 Some fundamental properties of maximal open sets are obtained, such as decomposition theorem for a maximal open set. Basic properties of intersections of maximal open sets are established, such as the law of radical closure.
Fumie Nakaoka, Nobuyuki Oda
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Asymmetric maximal and minimal open sets [PDF]
Mathematica Moravica, 2016 We introduce the notions of maximal and minimal open sets in bitopological spaces and obtain some properties of them. In contrary to maximal and minimal open sets in topological spaces, we observe that maximal and minimal open sets in bitopological ...
Mukharjee Ajoy +2 more
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Semi Generalized Open Sets and Generalized Semi Closed Sets in Topological Spaces [PDF]
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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A Survey on Open Set Recognition [PDF]
2021 IEEE Fourth International Conference on Artificial Intelligence and Knowledge Engineering (AIKE), 2021 Open Set Recognition (OSR) is about dealing with unknown situations that were not learned by the models during training. In this paper, we provide a survey of existing works about OSR and distinguish their respective advantages and disadvantages to help out new researchers interested in the subject.
Atefeh Mahdavi, Marco Carvalho 0001
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, 2005 We introduce the concepts of ?-semi-open set, ? s- set, ? s-set, generalized ? s-set, generalized ? s-set, semi-T 1 ?space and semi-R 0 ?space by using ?-open-sets.
Guldurdek, A +5 more
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Open-Set Adversarial Defense [PDF]
, 2020 Accepted by ECCV ...
Rui Shao 0001 +3 more
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, 2020 We introduce and discuss the notions of minimal λco-open sets in topological spaces. We establish some of it basic fundamental properties of minimal λco-open.
ROSAS, ENNIS +4 more
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CoRR, 2023 If G is a finite abstract simplicial complex and K is a subcomplex of G and U=G-K is the open complement of K in G, the Betti vectors of K and U and G satisfy the inequality b(G) less or equal b(K)+b(U).
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Nano βθ-Open Sets in Nano Topological Spaces
Tikrit Journal of Pure Science, 2023 This paper's primary objective is to present and study a different class of nano sets known as nano βθ-open sets in nano topological spaces. Additionally, introduced some nano topological concepts by using nano βθ-open set.
Rzgar U. Ahmad, Sami A. Hussein
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Intersection of Open Sets in the Reals
, 2023 We demonstrate that while the intersection of a finite number of open sets in $\mathbb R$ remains open in $\mathbb R$, the same cannot be universally said for intersections involving an infinite number of open sets.
Matheus Pereira Lobo
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