$M $ be a connected,compact manifold of dimension n. Show that $ M \# S^n$ is homeomorphic to $M$
My idea: $S^n-D^n$ is homeomorphic to $D^n$..so $M \# S^n$ is homeomorphic to $(M-D^n) \cup D^n$ ...which is homeomorphic to $M$... Is this right?
2025-01-13 00:14:13.1736727253
Connect Sum of a connected, compact manifold of dimension n and $S^n$
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