Results 51 to 60 of about 13,897 (167)

\(L\)-topological spaces

open access: yesSahand 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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On the Depth of Topological Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
In this short note we prove that Kowalsky’s star-space of weight ω
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On topological groups with a weak q-point

open access: yesApplied General Topology
In this article, firstly, we introduce the concepts of weak q-spaces and weak sq-spaces. Some properties of these spaces are discussed. Secondly, we study weak q-spaces and weak sq-spaces in topological groups in terms of preimages of submetrizable ...
Hai-Hua Lin, Li-Hong Xie
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On the Cardinality of a Topological Space [PDF]

open access: yesProceedings of the American Mathematical Society, 1977
In recent papers, B. Šapirovskiĭ, R. Pol, and R. E. Hodel have used a transfinite construction technique of Šapirovskiĭ to provide a unified treatment of fundamental inequalities in the theory of cardinal functions. Šapirovskiĭ’s technique is used in this paper to establish an inequality whose countable version states that the ...
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Soft Connectedness Via Soft Ideals

open access: yesJournal of New Results in Science, 2014
The notion of soft topological spaces with soft idealwas studied by Kandil et al. [15]. Applications to various fieldswere further investigated by Kandil et al. [13, 14].
A. Kandil
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Soft Mappings Space

open access: yesThe Scientific World Journal, 2014
Various soft topologies are being introduced on a given function space soft topological spaces. In this paper, soft compact-open topology is defined in functional spaces of soft topological spaces.
Taha Yasin Ozturk, Sadi Bayramov
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