Open AccessOn Fuzzy F ∗ -Simply Connected Spaces in Fuzzy F ∗ -Homotopy
Author(s) -
V. Madhuri,
Omar Bazighifan,
Ali Hasan Ali,
A. El-Mesady
Publication year - 2022
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2022/9926963
Subject(s) - mathematics , fuzzy logic , combinatorics , discrete mathematics , algebra over a field , artificial intelligence , computer science , pure mathematics
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.
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