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Semi-I-Expandable Ideal Topological Spaces

open access: yesJournal of Mathematics, 2021
Our purpose is to introduce the notion of semi-I-expandable ideal topological spaces. Some properties of semi-I-locally finite collections are investigated.
Chawalit Boonpok
doaj   +2 more sources

Some Characterizations of Complete Hausdorff KM-Fuzzy Quasi-Metric Spaces

open access: yesMathematics, 2023
Gregori and Romaguera introduced, in 2004, the notion of a KM-fuzzy quasi-metric space as a natural asymmetric generalization of the concept of fuzzy metric space in the sense of Kramosil and Michalek.
Salvador Romaguera
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Some Analogues of Topological Groups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
Let (G, ∗) be a group and τ be a topology on G. Let τα = {A ⊆G : A ⊆ Int(Cl(Int(A)))}, g ∗ τ = {g ∗ A : A ∈ τ} for g ∈ G. In this paper, we establish two relations between G and τ under which it follows that g ∗ τ ⊆ τα and g ∗ τα ⊆ τα, designate them by ...
Ram Madhu
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Regularity in Topological Modules [PDF]

open access: yesMathematics, 2020
The framework of Functional Analysis is the theory of topological vector spaces over the real or complex field. The natural generalization of these objects are the topological modules over topological rings.
Francisco Javier Garcia-Pacheco
doaj   +2 more sources

On P3-Paracompact Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
Mashhour et al. [1] introduced the notions of P1-paracompactness and P2-paracompactness of topological spaces in terms of preopen sets. In this paper, we introduce and investigate a weaker form of paracompactness which is called P3-paracompact. We obtain
Khalid Al-Zoubi, Samer Al-Ghour
doaj   +2 more sources

Lower density soft operators and density soft topologies [PDF]

open access: yesHeliyon
The classical density topology is derived from the Lebesgue density points of Lebesgue measurable sets. Wilczynski proposed a more general scheme for defining density points.
Zanyar A. Ameen   +2 more
doaj   +2 more sources

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