On Fuzzy F∗-Simply Connected Spaces in Fuzzy F∗-Homotopy

In this paper, the notions of fuzzy F∗-simply connected spaces and fuzzy F∗-structure homeomorphisms are introduced, and further fuzzy F∗-structure homeomorphism between fuzzy F∗-path-connected spaces are studied. Also, it is shown that every fuzzy F∗-structure subspace of fuzzy F∗-simply connected...

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Bibliographic Details
Main Authors: V. Madhuri, Omar Bazighifan, Ali Hasan Ali, A. El-Mesady
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/9926963
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Summary:In this paper, the notions of fuzzy F∗-simply connected spaces and fuzzy F∗-structure homeomorphisms are introduced, and further fuzzy F∗-structure homeomorphism between fuzzy F∗-path-connected spaces are studied. Also, it is shown that every fuzzy F∗-structure subspace of fuzzy F∗-simply connected space is fuzzy F∗-simply connected subspace. Further, the concepts of fuzzy F∗-contractible spaces and fuzzy F∗-retracts are introduced, and it is proved that every fuzzy F∗-contractible space is fuzzy F∗-simply connected.
ISSN:2314-8888