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continuity of some mappings on a group via semi-regular topology
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نویسنده
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ram m. ,elagan s. k.
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منبع
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journal of linear and topological algebra - 2021 - دوره : 10 - شماره : 3 - صفحه:179 -185
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چکیده
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for a given topological space $(x, ~im)$, there is a coarser topology on $x$ which is called the semiregular topology on $x$ (generated by regularly open subsets) and it is denoted by $im^{delta}$. in this paper, we study the continuity of the group operation and the inversion mapping ($varsigmalongmapstovarsigma^{1}$) as regards the semiregular topology $im^{delta}$ (not necessarily with the given topology). then we study the said mappings with the blend of the given topology $im$ and the semiregular topology $im^{delta}$. in the twilight of this note, we pose some questions which are noteworthy.
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کلیدواژه
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δ-open sets ,regularly open sets ,semi-regular topology ,virtually topological groups ,super topological groups
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آدرس
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university of jammu, department of mathematics, india, taif university, faculty of sciences, department of mathematics and statistics, saudi arabia
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پست الکترونیکی
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sayed_khalil2000@yahoo.com
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Authors
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