Results 21 to 30 of about 94 (92)
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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Properties Of New Classes Of ω-µ-Sets In Gts
, 2023 The notions of ω-µ-closed sets and ω-µ-open sets in generalized topological space were introduced and studied by Al Ghour and Zareer. In this paper, we introduce new classes of ω-µ-open sets and continuous functions in topological spaces and study the ...
Rosas, E +3 more
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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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Demonstratio Mathematica, 2020 Many mathematicians defined and studied soft separation axioms and soft continuity in soft spaces by using ordinary points of a topological space X. Also, some of them studied the same concepts by using soft points.
Hamko Qumri H. +2 more
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Regularity and normality in hereditary bi m-spaces
Demonstratio Mathematica, 2022 Quite recently, a new minimal structure mH⋆{m}_{H}^{\star } and an mnmn-ℋg{{\mathcal{ {\mathcal H} }}}_{g}-closed set have been introduced in a previous study [T. Noiri and V.
Al-Omari Ahmad +2 more
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Properties of some ∗‐dense‐in‐itself subsets
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 3989-3999, 2004., 2004 ℐ‐open sets were introduced and studied by Janković and Hamlett (1990) to generalize the well‐known Banach category theorem. Quasi‐ℐ‐openness was introduced and studied by Abd El‐Monsef et al. (2000). These are ∗‐dense‐in‐itself sets of the ideal spaces. In this note, properties of these sets are further investigated and characterizations of these sets
V. Renuka Devi +2 more
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More properties of generalized open sets in generalized topological spaces
Demonstratio Mathematica, 2022 Sarsak [M. S. Sarsak, On some properties of generalized open sets in generalized topological spaces, Demonstr. Math. 46 (2013), no. 2, 415–427] studied some properties of generalized open sets in generalized topological spaces (GTSs); the primary purpose
Sarsak Mohammad S.
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Local compactness in approach spaces II
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 109-117, 2003., 2003 This paper studies the stability properties of the concepts of local compactness introduced by the authors in 1998. We show that all of these concepts are stable for contractive, expansive images and for products.
R. Lowen, C. Verbeeck
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Connectivity with respect to α-discrete closure operators
Open Mathematics, 2022 We discuss certain closure operators that generalize the Alexandroff topologies. Such a closure operator is defined for every ordinal α>0\alpha \gt 0 in such a way that the closure of a set AA is given by closures of certain α\alpha -indexed sequences ...
Šlapal Josef
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