Results 31 to 40 of about 5,054,648 (320)
Some New Sets and Topologies in Ideal Topological Spaces [PDF]
Chinese Journal of Mathematics, 2013 An ideal topological space is a triplet (X, τ, ℑ), where X is a nonempty set, τ is a topology on X, and ℑ is an ideal of subsets of X. In this paper, we introduce L∗-perfect, R∗-perfect, and C∗-perfect sets in ideal spaces and study their properties. We obtained a characterization for compatible ideals via R∗-perfect sets. Also, we obtain a generalized
R. Manoharan, P. Thangavelu
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On a new generalized closure operator in the frame of ideals [PDF]
Journal of Mahani Mathematical ResearchThis paper aims to propose and examine two new operators based on the fundamental structure “ideal” and the notion of “generalized” producing a new generalized ideal topological space.
Salah El-Din Abbas +3 more
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Prediction of Ideal Topological Semimetals with Triply Degenerate Points in the NaCu_{3}Te_{2} Family. [PDF]
Physical Review Letters, 2017 Triply degenerate points (TDPs) in band structure of a crystal can generate novel TDP fermions without high-energy counterparts. Although identifying ideal TDP semimetals, which host clean TDP fermions around the Fermi level (E_{F}) without coexisting ...
Jian-Feng Wang +8 more
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Introduction to generalized topological spaces
Applied General Topology, 2011 We introduce the notion of generalized topological space (gt-space). Generalized topology of gt-space has the structure of frame and is closed under arbitrary unions and finite intersections modulo small subsets. The family of small subsets of a gt-space
Irina Zvina
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Further aspects of I K-convergence in topological spaces
Applied General Topology, 2021 In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential ...
Ankur Sharmah, Debajit Hazarika
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Topological complexity of ideal limit points [PDF]
Annals of Pure and Applied LogicGiven an ideal $\mathcal{I}$ on the nonnegative integers $\omega$ and a Polish space $X$, let $\mathscr{L}(\mathcal{I})$ be the family of subsets $S\subseteq X$ such that $S$ is the set of $\mathcal{I}$-limit points of some sequence taking values in $X$.
M. Balcerzak, S. Gła̧b, P. Leonetti
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Some Operators in Ideal Topological Spaces
Missouri Journal of Mathematical Sciences, 2018 The concept of \(\omega \)-closed sets is due to \textit{H. Z. Hdeib} [Rev. Colomb. Mat. 16, 65--78 (1982; Zbl 0574.54008)]. A subset \(A\) of a topological space \(X\) is \(\omega \)-closed if it contains all of its condensation points [loc. cit.].
Al-Saadi, H., Al-Omari, A.
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Ideal with Micro Topological Space
Journal of Physics: Conference Series, 2021 Abstract In this paper studied *-micID -sets, *-micIy -sets, *-micIc -sets and micI* D -sets on micro ideal topological space and specific properties of this inspected us also inspected the idea of R - micI - open sets and discussed the ...
Ekram abd al-kader saleh +1 more
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The ideal generated by σ-nowhere dense sets
Applied General Topology, 2006 In this paper, we consider the ideal Iσ generated by all σ-nowhere dense sets in a topological space. Properties of this ideal and its relations with the Volterra property are explored.
Jiling Cao, Sina Greenwood
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Compactness on Single-Valued Neutrosophic Ideal Topological Spaces [PDF]
Neutrosophic Sets and Systems, 2021 In the current paper, particular acheivments of single-valued neutrosophic continuity on a singlevalued neutrosophic topological space (𝔗̃, 𝜏̃ 𝛾̃ , 𝜏̃ 𝜂̃ , 𝜏̃ 𝜇̃ ) are introduced. Some necessary implications between them are illustrated.
𝐅𝐚𝐡𝐚𝐝 𝐀𝐥𝐬𝐡𝐚𝐫𝐚𝐫𝐢 +2 more
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