On fuzzy fundamental groups and fuzzy folding of fuzzy Minkowski space (Q2092725)

Summary: In this paper, we studied the relations between new types of fuzzy retractions, fuzzy foldings, and fuzzy deformation retractions, on fuzzy fundamental groups of the fuzzy Minkowski space \(\widetilde{M}^4\). These geometrical transformations are used to give a combinatorial characterization of the fundamental groups of fuzzy submanifolds on \(\widetilde{M}^4\). Then, the fuzzy fundamental groups of the fuzzy geodesics and the limit fuzzy foldings of \(\widetilde{M}^4\) are presented and obtained. Finally, we proved a sequence of theorems concerning the isomorphism between the fuzzy fundamental group and the fuzzy identity group.