Timeline for De Rham isomorphism for noncompact manifolds?
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
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 |