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Oct 29, 2013 at 17:25 comment added ThiKu Actually Bott-Tu only proves the isomorphism between deRham and Cech cohomology, but literally the same argument (replacing differential forms by singular cochains everywhere) proves the isomorphism between singular and Cech cohomology.
Oct 29, 2013 at 17:23 comment added ThiKu Bott-Tu handles the general case assuming only the existence of a "good cover", i.e. a cover by contractible open sets, such that all multiple intersections are contractible.
Oct 29, 2013 at 15:34 answer added shu timeline score: 6
Oct 29, 2013 at 15:23 answer added John Salvatierrez timeline score: 5
Oct 29, 2013 at 15:16 history asked John CC BY-SA 3.0