TY - JOUR T1 - Nonstandard Analysis Methods for Separations in [0, 1]-Topological Spaces AU - Ma , Chunhui AU - Shi , Yanwei JO - Communications in Mathematical Research VL - 3 SP - 275 EP - 280 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19049.html KW - nonstandard enlargement, fuzzy point, [0, 1]-topological space, remote-neighborhood, monad. AB -

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.