Nonstandard Analysis Methods for Separations in[0,1]-topological Spaces |
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| Authors: | Ma Chun-hui Shi Yan-wei |
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| Institution: | School of Science,Xi’an University of Architecture and Technology,Xi’an,710055) (2.Department of Basic Courses,Xi’an Peihua University,Xi’an,710125) |
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| Abstract: | In nonstandard enlargement,the separations are characterized by nonstandard analysis methods in0,l]-topological spaces.Firstly,the monads of fuzzy point in0,l]-topological spaces are described with remote-neighborhoods in nonstandard enlarged model.Then the nonstandard characterizations of separations in 0,l]-topological space are given by the monads.At last,relations of these separations are investigated. |
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| Keywords: | nonstandard enlargement fuzzy point [0 1]-topological space remote-neighborhood monad |
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