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On some spaces via topological ideals
Open Mathematics, 2023 Our main purpose is to introduce and investigate the concepts of some forms of spaces via topological ideals. Some characterizations of some forms of spaces via topological ideals are established.
Boonpok Chawalit
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Neutrosophic Nano Semi-Frontier [PDF]
Neutrosophic Sets and Systems, 2020 Smarandache presented and built up the new idea of Neutrosophic set from the Intuition istic fuzzy sets. A.A. Salama presented Neutrosophic topological spaces by utilizing the Neutro sophic sets.
R. Vijayalakshmi, Mookambika A.P.
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The topological fundamental group and free topological groups [PDF]
, 2010 The topological fundamental group $\pi_{1}^{top}$ is a homotopy invariant finer than the usual fundamental group. It assigns to each space a quasitopological group and is discrete on spaces which admit universal covers.
Aguilar +28 more
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Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets.
Satirad Akarachai, Iampan Aiyared
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International Journal of Mathematics and Mathematical Sciences, 2016 In this paper we consider the topological interpretations of L□, the classical logic extended by a “box” operator □ interpreted as interior. We present extensions of S4 that are sound over some families of topological spaces, including particular point ...
Maria Nogin, Bing Xu
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On generalized topological spaces II [PDF]
Annales Polonici Mathematici, 2013 26 ...
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Journal of Mathematics, 2020 In this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft s-regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular⋆ spaces ...
Tareq M. Al-shami +1 more
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$\mathcal{S}_X$-convergence and locally hypercompact spaces [PDF]
arXiv, 2022 In this paper, we give a topological version of Scott convergence theorem for locally hypercompact spaces. We introduce the notion of $\mathcal{S}^*_X$-convergence on a $T_0$ topological space $X$, and define the notion of finitely approximated spaces. Monotone determined spaces are natural topological extensions of dcpos.
arxiv
On the Weight of a Topological Space [PDF]
Proceedings of the American Mathematical Society, 1974 The main result in this paper states that the weight of a regular space is the product of three cardinal functions, namely the Lindelöf degree, the pluming degree, and the point separating weight.
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The Rice-Shapiro theorem in Computable Topology
, 2017 We provide requirements on effectively enumerable topological spaces which guarantee that the Rice-Shapiro theorem holds for the computable elements of these spaces.
Korovina, Margarita, Kudinov, Oleg
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