For any two connected n-dimensional topological manifolds one can construct the connected sum of them, but how did I know it is well defined? Thanks for any reference.
Where can I find a proof of the homeomorphic uniqueness of connected sum?
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general-topology
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0Are you sure it's well-defined? You're not missing any words up there? – 2012-01-25
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1Indeed, we need oriented here, IIRC – 2012-01-25
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0Lee proves this result in his book [Introduction to Topological Manifolds](http://www.math.washington.edu/~lee/Books/ITM/). – 2012-01-25
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0Yes. I negelect the oriented condition. But Lee's book only solve the surfaces case. – 2012-01-26
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0It's an exercise in Lee's _Introduction to Smooth Manifolds_. – 2012-01-26