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s-metrizability and the wallman basis of a frame
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نویسنده
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rathilal cerene
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منبع
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categories and general algebraic structures with applications - 2024 - دوره : 20 - شماره : 1 - صفحه:155 -174
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چکیده
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The wallman basis of a frame and the corresponding induced compactification was first investigated by baboolal [2]. in this paper, we provide an intrinsic characterisation of s-metrizability in terms of the wallman basis of a frame. particularly, we show that a connected, locally connected frame is s-metrizable if and only if it has a countable locally connected and uniformly connected wallman basis.
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کلیدواژه
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s-metrizable ,wallman basis ,compactification ,frame
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آدرس
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univeristy of kwazulu-natal, school of mathematics, statistics and computer science, south africa
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پست الکترونیکی
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rathilalc@ukzn.ac.za
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Authors
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