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Keywords = fuzzy Friedmann–Robertson–Walker space W ˜ 4

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21 pages, 469 KB  
Article
Singularities of Fuzzy Friedmann–Lemaître–Robertson–Walker Space
by Yanlin Li, Fawaz Alharbi and Abdulaziz E. El-Ahmady
Axioms 2025, 14(8), 591; https://doi.org/10.3390/axioms14080591 - 31 Jul 2025
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Abstract
We obtain different categories of singularities of fuzzy retracts, fuzzy deformation retracts, and fuzzy foldings on fuzzy fundamental groups of the fuzzy Friedmann–Lemaître–Robertson–Walker Space W˜4. The fuzzy fundamental groups of fuzzy submanifolds in W˜4 are characterized combinatorially using [...] Read more.
We obtain different categories of singularities of fuzzy retracts, fuzzy deformation retracts, and fuzzy foldings on fuzzy fundamental groups of the fuzzy Friedmann–Lemaître–Robertson–Walker Space W˜4. The fuzzy fundamental groups of fuzzy submanifolds in W˜4 are characterized combinatorially using these fuzzy geometrical transformations. Also, the fuzzy fundamental groups of the fuzzy geodesics and the limit fuzzy foldings of W˜4 are described. New types of fuzzy singularity of some fuzzy geometrical transformations of W˜4 are obtained. Finally, the regularity of some other fuzzy retract singularities are discussed. Full article
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