Nonstandard Analysis Methods for Separations in [0,1]-topological Spaces  

作　　者：MA CHUN-HUI SHI YAN-WEI 

机构地区：[1]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

出　　处：《Communications in Mathematical Research》2012年第3期275-280,共6页数学研究通讯（英文版）

基　　金：The NSF (2007A12) of Shaanxi Province;the Special Science Research Project (11JK0507) of Shaanxi Provincial Department of Edueation

摘　　要：In nonstandard enlargement, the separations are characterized by non- standard analysis methods in [0, 1J-topological spaces. Firstly, the monads of fuzzy point in [0, 1]-topological spaces are described with remote-neighborhoods in non- standard 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.In nonstandard enlargement, the separations are characterized by non- standard analysis methods in [0, 1J-topological spaces. Firstly, the monads of fuzzy point in [0, 1]-topological spaces are described with remote-neighborhoods in non- standard 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.

关 键 词：nonstandard enlargement fuzzy point [0 1]-topological space remote- neighborhood MONAD 

分 类 号：O189.11[理学—数学] TS262.5[理学—基础数学]