Timeline for Stokes theorem for manifolds with boundary as disjoint union of submanifolds
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 1, 2016 at 13:04 | vote | accept | Jon-S | ||
| Nov 1, 2016 at 11:05 | comment | added | coudy | For a set, compat support just means that the closure is compact. The mass of a rectifiable set is the Haussdorff measure of the set counting multiplicities. So for a finite union of manifolds, you just have to show that the n-1 Haussdorff measure of each pieces is finite. | |
| Oct 31, 2016 at 22:59 | comment | added | Jon-S | Thank you, that helps a lot. Just so that I understand a little bit more the details, I have a few questions. 1) What do you mean by rectifiable set with compact support ? 2) What does it mean for a rectifiable set to have finite mass? 3) How to show that a finite union of submanifolds of dimension $\leq n-1$ has finite mass? 4) Does this imply that we must rectrict to boundaries with finite hausdorff measure ? | |
| Oct 31, 2016 at 14:26 | history | answered | coudy | CC BY-SA 3.0 |