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Volume 28, Issue 3
Nonstandard Analysis Methods for Separations in [0, 1]-Topological Spaces

Chunhui Ma & Yanwei Shi

Commun. Math. Res., 28 (2012), pp. 275-280.

Published online: 2021-05

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  • 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.

  • Keywords

nonstandard enlargement, fuzzy point, [0, 1]-topological space, remote-neighborhood, monad.

  • AMS Subject Headings

03H05, 54J05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-28-275, author = {Ma , Chunhui and Shi , Yanwei}, title = {Nonstandard Analysis Methods for Separations in [0, 1]-Topological Spaces}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19049.html} }
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.

Ma , Chunhui and Shi , Yanwei. (2021). Nonstandard Analysis Methods for Separations in [0, 1]-Topological Spaces. Communications in Mathematical Research . 28 (3). 275-280. doi:
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