Results 1 to 10 of about 50 (44)
Topological Quasilinear Spaces [PDF]
Abstract and Applied Analysis, 2012 We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear spaces and also nonlinear spaces of subsets and multivalued mappings. Further, Aseev presented some
Yılmaz, Yılmaz +2 more
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International Journal of Theoretical Physics, 2005 12 pp., LaTeX 2e. To appear in Int. J.
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Neutrosophic -Topological spaces
Neutrosophic Sets and Systems, 2020 In this paper, the concept of neutrosophic topological spaces is introduced. We dene and study the properties of neutrosophic open sets, closed sets, interior and closure. The set of all generalize neutrosophic pre-closed sets GNPC( ) and the set of all neutrosophic -open sets in a neutrosophic topological space (X; ) can be considered as examples
Murad Arar, Saeid Jafari
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Topological Space-Time Crystal
Physical Review Letters, 2022 We introduce a new class of out-of-equilibrium noninteracting topological phases, the topological space-time crystals. These are time-dependent quantum systems which do not have discrete spatial translation symmetries, but instead are invariant under discrete space-time translations.
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Sahand Communications in Mathematical Analysis, 2017 Summary: By substituting the usual notion of open sets in a topological space \(X\) with a suitable collection of maps from \(X\) to a frame \(L\), we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion.
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Boletim da Sociedade Paranaense de MatemáticaThe purpose of this paper is to introduce a new structure called primal. Primal is the dual structure of grill. Like ideal, the dual of filter, this new structure also generates a new topology named primal topology. We introduce a new operator using primal, which satisfies Kuratowski closure axioms.
Santanu Acharjee +2 more
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alpha-Topological Vector Spaces
Hacettepe Journal of Mathematics and Statistics, 2017 Summary: The notion of \(\alpha\)-topological vector space is introduced and several properties are studied. A~complete comparison between this class and the class of topological vector spaces is presented. In particular, \(\alpha\)-topological vector spaces are shown to be independent from topological vector spaces. Finally, a sufficient condition for
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Soft Topology in Ideal Topological Spaces
Hacettepe Journal of Mathematics and Statistics, 2018 Summary: In this paper, \((X,\tau,E)\) denotes a soft topological space and \(\overline{\mathcal{I}}\) a soft ideal over \(X\) with the same set of parameters \(E\). We define an operator \((F,E)^\theta(\overline{\mathcal{I}},\tau)\) called the \(\theta\)-local function of \((F,E)\) with respect to \(\overline{\mathcal{I}}\) and \(\tau\).
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Finite topological spaces [PDF]
Transactions of the American Mathematical Society, 1966 openaire +1 more source