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another form of supra ordered separationaxioms
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نویسنده
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alshami tareq ,alshumrani mohammed ahmed ,özel cenap
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منبع
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journal of mathematical extension - 2021 - دوره : 15 - شماره : 1 - صفحه:105 -125
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چکیده
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In this work, we present and study new ordered separation axioms,namely supra tci-ordered spaces (briey, stci-ordered spaces), where i = 0, 1/2 , 1, 1 1/2, 2. with the help of examples, we illustrate the relationships among these ordered spaces and point out under what conditions they are hereditary properties. also, we derive some results which associate some of stci -ordered spaces with some topological notions such as supra limit points and supra disconnected spaces, and with some algebra notions such as largest and smallest elements. furthermore, we investigate the image of theses ordered spaces under s*-homeomorphism maps. finally, we verify that the finite ordered product of stci -ordered spaces is stci-ordered, for i = 0; 1/2 ; 1; 1 1/2 .
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کلیدواژه
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supra limit point ,stci-ordered space ,s*-homeomorphism map ,ordered product space and supra topological or-dered space
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آدرس
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sana'a university, department of mathematics, yemen, king abdulaziz university, department of mathematics, saudi arabia, king abdulaziz university, department of mathematics, saudi arabia
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پست الکترونیکی
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cenap.ozel@gmail.com
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Authors
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