Results 51 to 60 of about 150,546 (155)
Covering games using semi-open sets
, 2023 In this paper, we prove the following Theorems 1. An extremally disconnected space $X$ has the semi-Menger property if and only if One does not have a winning strategy in the game $G_{fin}(sO,sO)$. 2. An extremally disconnected space $X$ has the semi-Rothberger property if and only if One does not have a winning strategy in the game $G_1(sO,sO)$.
Bhardwaj, Manoj, Osipov, Alexander V.
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A note on some applications of semi-open sets
International Journal of Mathematics and Mathematical Sciences, 1998 The object of the present paper is to study the well known notions of semi-closure, semiinterior, semi-frontier and semi-exterior of a set using the concept of semi-open sets. A semi-isolated point of a set is also defined and studied.
T. M. Nour
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\(\gamma\)-Semi-Open Sets and \(\gamma\)-Semi-Functions
Journal of Advanced Studies in Topology, 2012 Summary: In this paper, a new kind of set called a \(\gamma\)-semi-open set is introduced and investigated using the \(\gamma\)-operator due to Ogata. Such sets are used for studying new types of mappings, viz. \(\gamma\)-semi-continuous, \((\gamma,\beta)\)-semi-irresolute and weakly \(\gamma\)-semi-continuous.
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Science Journal of University of Zakho, 2013 In this paper we introduce a new concept of connectedness namely Sp-connected space. This class of spaces is strictly between semi-connectedness and connectedness. Several properties and characterizations of this concept are found.
ALIAS B. KHALAF, HARDI ALI SHAREEF
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International Journal of Mathematics and Mathematical Sciences, 1992 A property preserved under a semi-homeomorphism is said to be a semi-topological property. In the present paper we prove the following results: (1) A topological property P is semi-topological if and only if the statement (X,𝒯) has P if and only if (X,F ...
Bhamini M. P. Nayar, S. P. Arya
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Weak and strong forms of irresolute maps
International Journal of Mathematics and Mathematical Sciences, 2000 We consider new weak and stronger forms of irresolute and semi-closure via the concept sg-closed sets which we call ap-irresolute maps, ap-semi-closed maps and contra-irresolute and use it to obtain a characterization of semi-T1/2 spaces.
Miguel Caldas Cueva
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On Strong $(i,j)$-Semi$^{*}$-$\Gamma $-Open Sets in Ideal Bitopological Space
Journal of New TheoryIn this study, we introduce the concepts of $(i,j)$-semi$^{*}$-$\Gamma $-open sets within the context of ideal bitopological spaces. This concept is demonstrated to be weaker than the established the notion of $(i,j)$-semi-$\Gamma $-open sets ...
Sibel Demiralp, Ibtissam Bukhatwa
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Some properties of weak form of $\gamma$-semi-open sets
Tamkang Journal of Mathematics, 2012 In this paper, we introduce and explore fundamental properties of weak form of $\gamma$-semi-open sets namely maximal $\gamma$-semi-open sets in topological spaces such as decomposition theorem for maximal $\gamma$-semi-open set. Basic properties of intersection of maximal $\gamma$-semi-open sets are established, such as the $\gamma$-semi-closure law ...
Sabir Hussain, Mohammad Ahmad Alghamdi
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Some Results on Semi-preopen Sets
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The definition of semi-preopen sets were first introduced by "Andrijevic" as were is defined by :Let (X , ï´ ) be a topological space, and let A ⊆, then Ais called semi-preopen set if ⊆∘ .
R. N. Majeed, A. I. Nasir
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The aim of this paper is to introduce a new type of proper mappings called semi-p-proper mapping by using semi-p-open sets, which is weaker than the proper mapping. Some properties and characterizations of this type of mappings are given.
Narjis. A.U. Dawood
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