Timeline for system of local coefficients on X, locally constant sheaves and orientation sheaves
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 2, 2012 at 12:04 | comment | added | Anton Fonarev | @zatilokum It means that this is a constant sheaf. | |
| Aug 1, 2012 at 22:59 | comment | added | zatilokum | what does the trivial orientation sheaf mean? | |
| Jul 23, 2012 at 22:16 | vote | accept | zatilokum | ||
| Jul 23, 2012 at 22:20 | |||||
| Jul 6, 2012 at 15:09 | comment | added | Yosemite Sam | to be more explicit one could say that the stalks of $L_{or}(M)$ depend only on the presheaf you defined. To see what the stalks are we can reduce to $\mathbb{R}^n$ as $M$ is a manifold. There we can take a direct system of concentric balls. The relative homology then becomes the n-th homology of the sphere $S^n$ which is $\mathbb{Z}$. Hence $L_{or}(M)$ is indeed locally constant. | |
| Jul 6, 2012 at 10:57 | history | answered | Anton Fonarev | CC BY-SA 3.0 |