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Feb 1, 2014 at 15:10 comment added Misha Verbitsky Morse theory gives you a cell decomposition for a manifold; to go from this to something like a triangulation is a purely topological problem. It is quite often non-trivial, however.
Jan 31, 2014 at 16:10 comment added Hugo Chapdelaine Hi Misha thanks a lot for the reference. Is it possibl using these ideas to show that each smooth affine algebraic variety admits a finite open good cover (in the topological sense) (if such a result is true of course)?
Jan 31, 2014 at 16:08 vote accept Hugo Chapdelaine
Jan 28, 2014 at 21:55 history answered Misha Verbitsky CC BY-SA 3.0