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internal neighbourhood structures ii: closure and closed morphisms
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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 - 2023 - دوره : 18 - شماره : 1 - صفحه:155 -223
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چکیده
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Internal preneighbourhood spaces inside any finitely complete category with finite coproducts and proper factorisation structure were first introduced in cite{2020}. this paper proposes a closure operation on internal preneighbourhood spaces and investigates closed morphisms and its close allies. consequently it introduces analogues of several well-known classes of topological spaces for preneighbourhood spaces. some preliminary properties of these spaces are established in this paper. the results of this paper exhibit that preneighbourhood systems are more general than closure operators and conveniently allows identifying properties of classes of morphisms independent of emph{continuity} of morphisms with respect to induced closure operators.
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کلیدواژه
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closure operator ,filter ,factorisation system ,complete lattice ,preneighbourhood spaces ,complete bounded semilattice
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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 afric
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پست الکترونیکی
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ghoshpp@unisa.ac.za
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Authors
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