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another closure operator on preneighbourhood spaces
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نویسنده
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ghosh partha pratim
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منبع
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categories and general algebraic structures with applications - 2025 - دوره : 22 - شماره : 1 - صفحه:59 -91
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چکیده
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The notions of dense, proper, separated or perfect morphisms and hence of compact, hausdorff or compact hausdorff are all consequent to good properties of a family of closed morphisms is well known in literature. deeper consequences like the tychonoff product theorem or the stone čech compactifications follow from richer properties of the set of closed morphisms. the purpose of this paper is to provide a closure operation on a preneighbourhood space so that the resulting set of closed morphisms possess all the properties mentioned above.
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کلیدواژه
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closure operator ,ideals and filters in lattice ,neighbourhood operator ,proper factorisation system ,subobject lattice
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آدرس
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university of south africa, unisa science campus, department of mathematical sciences, south africa. national institute for theoretical and computational sciences (nithecs), south africa
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پست الکترونیکی
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ghoshpp@unisa.ac.za
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Authors
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