|
3 | edited body; edited title | ||
Non zero Non-zero sheaf cohomologyLet R denote the real line with its usual topology. Does there exist a sheaf F of abelian groups on R whose second cohomology group H^2(R,F) is non- zeronon-zero? What about H^j(R,F) for integers j>=2 ? (Here cohomology means derived functor cohomology as in,sayin, say, Hartshorne or EGA. Anyway this cohomology coincides with Cech cohomology since R is paracompact.) |
||||
|
|
2 | added 262 characters in body; edited tags | ||
|
Is Let R denote the real line with its usual topology. Does there exist a sheaf F of abelian groups on R whose second (or higher) cohomology group H^2(R,F) is non-zeronon- zero? What about H^j(R,F) for integers j>=2 ? (Here cohomology means derived functor cohomology as in,say, Hartshorne or EGA. Anyway this cohomology coincides with Cech cohomology since R is paracompact.)
|
||||
|
|
1 |
|
||
Non zero sheaf cohomologyIs there a sheaf of abelian groups on R whose second (or higher) cohomology group is non-zero?
|
||||
