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some categorical aspects of coarse proximity spaces
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نویسنده
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mirhosseinkhani gh.
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منبع
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journal of linear and topological algebra - 2024 - دوره : 13 - شماره : 1 - صفحه:39 -47
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چکیده
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In this paper, we study some categorical structures of the category coarsepro, whose objects are coarse proximity spaces and whose morphisms are coarse proximity maps. we investigate the structure of initial, final, embedding and quotient morphisms in the constructcoarsepro. a special attention is paid to investigate quotients by introducing some conditions that they exist. also, it is shown that bimorphisms are exactly bijective coarse proximity maps, but not isomorphisms. consequently, coarsepro is not balanced.
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کلیدواژه
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coarse proximity space ,coarse proximity category ,embedding morphism ,quotient morphism ,bimorphism
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آدرس
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sirjan university of technology, department of mathematics and computer sciences, iran
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پست الکترونیکی
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gh.mirhosseini@yahoo.com, gh.mirhosseini@sirjantech.ac.ir
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some categorical aspects of coarse proximity spaces
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Authors
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