Results 1 to 10 of about 71 (71)
Applications of some modified open sets in r-neighbourhood spaces with ideals [PDF]
E3S Web of Conferences, 2023 The purpose of this paper is to introduce r-a-open sets, r-semi open sets and r-pre open sets in ideal r-neighbourhood space. We also discuss their properties, characterizations and relations with existing notions with suitable examples.
Tharmar S. +4 more
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On almost e-ℐ-continuous functions
Demonstratio Mathematica, 2021 This work is concerned with a new class of functions called almost ee-ℐ{\mathcal{ {\mathcal I} }}-continuous functions containing the class of almost ee-continuous functions. This notion is stronger than almost δβℐ\delta {\beta }_{{\mathcal{ {\mathcal I}
AL-Omeri Wadei, Noiri Takashi
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A variation of the class of statistical γ covers
Topological Algebra and its Applications, 2023 In this article, we introduce s-s-γ\gamma cover using the notion of star operator, which is an extension of the previous results on s-γ\gamma covers.
Bal Prasenjit, Rakshit Debjani
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Properties of locally semi-compact Ir-topological groups
Open Mathematics, 2023 This study investigates some topological properties of locally semi-compact Ir-topological groups and establishes the relationship between Ir-topological groups and semi-compact spaces.
Wang ZhongLi, Teh Wen Chean
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Fixed point results in generalized suprametric spaces
Topological Algebra and its Applications, 2023 We introduce the concept of generalized suprametric spaces, which subsumes some existing abstract metric spaces. Then, we show the existence of fixed points for maps satisfying nonlinear contractions involving either extended comparison or ρ\rho ...
Berzig Maher
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A novel class of bipolar soft separation axioms concerning crisp points
Demonstratio Mathematica, 2023 The main objective of this study is to define a new class of bipolar soft (BS) separation axioms known as BS T˜˜i{\widetilde{\widetilde{T}}}_{i}-space (i=0,1,2,3,4)\left(i=0,1,2,3,4). This type is defined in terms of ordinary points.
Asaad Baravan A., Musa Sagvan Y.
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Approximation spaces inspired by subset rough neighborhoods with applications
Demonstratio Mathematica, 2023 In this manuscript, we first generate topological structures by subset neighborhoods and ideals and apply to establish some generalized rough-set models.
Al-shami Tareq M., Mhemdi Abdelwaheb
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A categorical approach to abstract convex spaces and interval spaces
Open Mathematics, 2019 In this paper, we establish the axiomatic conditions of hull operators and introduce the category of interval spaces. We also investigate their relations with convex spaces from a categorical sense.
Wang Bing, Li Qing-Hua, Xiu Zhen-Yu
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Sum of the spaces on ordered setting
Moroccan Journal of Pure and Applied Analysis, 2020 One of the divergences between topology and ordered topology is that some topological concepts such as separation axioms and continuous maps are defined using open neighborhoods or neighborhoods without any difference, however, they are distinct on the ...
Al-shami T. M.
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A note on pseudobounded paratopological groups
Topological Algebra and its Applications, 2014 Let G be a paratopological group. Then G is said to be pseudobounded (resp. ω-pseudobounded) if forevery neighbourhood V of the identity e in G, there exists a natural number n such that G = Vn (resp.we have G = ∪ n∈N Vn).
Lin Fucai, Lin Shou, Sánchez Iván
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