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Preclosure Operator and Its Applications in General Topology
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نویسنده
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Nasef A. A. ,Jafari S. ,Caldas M. ,Latif R. M. ,Azzam A. A.
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منبع
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Journal Of Linear And Topological Algebra - 2018 - دوره : 7 - شماره : 1 - صفحه:1 -9
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چکیده
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In this paper, we show that a pointwise symmetric pre-isotonic preclosure function is uniquely determined the pairs of sets it separates. we then show that when the preclosure function of the domain is pre-isotonic and the preclosure function of the codomain is preisotonic and pointwise-pre-symmetric, functions which separate only those pairs of sets which are already separated are precontinuous.
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کلیدواژه
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Preclosure-Separated ,Preclosure Functions ,Precontinuous Functions
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آدرس
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Kafr El-Sheikh University, Faculty Of Engineering, Department Of Physics And Engineering Mathematics, Iran, College Of Vestsjaelland South, Denmark, Universidade Federal Fluminense, Departamento De Mathematica Aplicada, Brazil, King Fahd University Of Petroleum And Minerals, Department Of Mathematics And Statistics, Saudi Arabia, Assuit University, Faculty Of Science, Department Of Mathematics, Egypt
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Authors
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