THE FUNDAMENTAL GROUP OF THE CONNECTED SUM OF MANIFOLDS AND THEIR FOLDINGS

Abstract

In this paper, we will introduce the folding on the connected sum of some types of manifolds which are determined by their fundamental group. Also, the fundamental group of the unfolding of the connected sum will be deduced some types of conditional foldings restricted on the elements of the fundamental groups are deduced. Theorems governing these relations will be achieved. Some applications in manufacturing are presented.

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