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Timeline for homology of punctured manifolds

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May 10, 2014 at 13:57 comment added abx There must be many; one I know (in the more general context of sheaf theory) is in Dimca's book Sheaves in Topology (Universitext, Springer), Remark 2.4.5.
May 10, 2014 at 13:34 vote accept Hwang
May 10, 2014 at 13:33 comment added Hwang Thank you. I was assuming $M$ orientable, too. Could you let me know the reference of the exact sequence?
May 10, 2014 at 13:03 comment added abx Right, I was indeed assuming $M$ orientable.
May 10, 2014 at 12:54 comment added Allan Edmonds This answer assumes the manifold is orientable. In general the map in questions is not an isomorphism as the example of the projective plane shows.
May 10, 2014 at 12:31 history answered abx CC BY-SA 3.0