Question

Please explain each step of what you do in detail to solve this problem:

2. (Connected sums) Recall that the connected sum M #M2 of two (path connected) manifolds M and M2 is obtained from the disjoint union of Mi and M2 by removing the interior of a closed n-ball Bi fron Mi (i = 1,2) and gluing together the two boundary (n 1)-spheres by a homeomorphism π1(M,,p) *n(My, P2), Prove for appropriate base point p provided n 2 3. M, #My, PE M, that π1(M, #My, p)

Answer 1

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