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Mar 31, 2018 at 11:31 comment added Tom Goodwillie Universal coefficient theorem for field coefficients: cohomology is the vector space dual of homology.
Mar 31, 2018 at 11:30 comment added Tom Goodwillie Every compact set in a smooth connected manifold is contained in some compact connected submanifold.
Mar 31, 2018 at 11:28 comment added Michael Albanese Why does $w_2$ restrict to zero on a compact set? Isn't this only true for compact submanifolds?
Mar 31, 2018 at 2:43 comment added Andy Putman @user6419: You might be interested in the cautionary example here: mathoverflow.net/a/140131/317
Mar 31, 2018 at 2:02 vote accept user6419
Mar 31, 2018 at 2:02 comment added user6419 Never mind, I think this is just universal coefficient theorem, and you really meant finite fields.
Mar 31, 2018 at 1:47 comment added user6419 Thank you! Do you have a reference for field coefficients vs integral?
Mar 31, 2018 at 1:40 history answered Tom Goodwillie CC BY-SA 3.0