![Nonstandard Analysis Methods for Separations in [0, 1]-Topological Spaces](https://global-sci.com/images/articles/81839.png?w=900&h=&fit=&c=2&assets_cache=20241003044106&bg=white)
Year: 2012
Author: Chunhui Ma, Yanwei Shi
Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 275–280
Abstract
In nonstandard enlargement, the separations are characterized by nonstandard analysis methods in [0, 1]-topological spaces. Firstly, the monads of fuzzy point in [0, 1]-topological spaces are described with remote-neighborhoods in nonstandard enlarged model. Then the nonstandard characterizations of separations in [0, 1]-topological space are given by the monads. At last, relations of these separations are investigated.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19049
Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 275–280
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: nonstandard enlargement fuzzy point [0 1]-topological space remote-neighborhood monad.