Timeline for Constants sheaves on an open subset
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 24, 2015 at 8:08 | comment | added | ACL | Actually, the formulation of the question is incorrect, which led to the two different answers. You write that $\mathbb Z_U$ is a sheaf on $U$, while $F$ is a sheaf on $X$; so $\mathop{\rm hom}(\mathbb Z_U,F)$ does not make sense. You must either restrict $F$ to $U$ or extend $\mathbb Z_U$ to $X$. In the first case, the answer is yes (Zhen Lin's comment), and in the second it depends on the choice of an extension (direct image or extension by zero). | |
| Apr 24, 2015 at 7:45 | history | edited | Fernando Muro | CC BY-SA 3.0 |
typo
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| Mar 8, 2013 at 15:48 | vote | accept | Fernando Muro | ||
| Mar 8, 2013 at 13:29 | answer | added | Angelo | timeline score: 4 | |
| Mar 8, 2013 at 13:03 | answer | added | Liviu Nicolaescu | timeline score: 0 | |
| Mar 8, 2013 at 13:00 | comment | added | Zhen Lin | Yes, it is a formal consequence of Yoneda and the fact that sheafification and the free abelian group functor are left adjoints. | |
| Mar 8, 2013 at 11:58 | answer | added | user19475 | timeline score: 1 | |
| Mar 8, 2013 at 11:53 | history | asked | Fernando Muro | CC BY-SA 3.0 |