Timeline for Is the tensor product of polyhedra a polyhedron?
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 24, 2019 at 22:32 | comment | added | VS. | @darijgrinberg Ok how about 'tensor sum' if such a notion is plausible? Replace $p_iq_j$ by $p_i+q_j$. | |
| Apr 24, 2019 at 22:31 | comment | added | darij grinberg | @Vs: afraid I know nothing about how this tensor product loois like in practice. | |
| Apr 24, 2019 at 22:30 | comment | added | VS. | @darijgrinberg Do you know if the number of vertices in the tensor product of two polytopes grow multiplicatively and the number of hyperplane inequalities grow additively? At least is this true if we take tensor product of same polytope? Relevant query is here mathoverflow.net/questions/328687/on-decomposition-of-polytopes. It seems tensor product seems relevant. | |
| Dec 20, 2012 at 19:37 | vote | accept | darij grinberg | ||
| Dec 20, 2012 at 2:32 | vote | accept | darij grinberg | ||
| Dec 20, 2012 at 2:34 | |||||
| Dec 19, 2012 at 21:57 | answer | added | Will Sawin | timeline score: 12 | |
| Dec 19, 2012 at 5:14 | comment | added | Thomas Zaslavsky | Can you provide your definition of $p \otimes q$? How is it different from $(p,q) \in P \times Q$? (I don't see a definition in Ziegler.) | |
| Dec 7, 2012 at 17:26 | comment | added | Lierre | Oh... I should have read the parenthesis ;) | |
| Dec 7, 2012 at 17:22 | comment | added | darij grinberg | No, Lierre, it doesn't match, as I have pointed out in the parentheses. Unfortunately the title of the question didn't reflect that -- sorry. | |
| Dec 7, 2012 at 17:15 | comment | added | Lierre | I'm not entirely sure that your definition of tensor product match the one of Lawrence Valby. In particular yours depends heavily on where is the origin, whereas the one of Valby is about affine spaces. The question remains valid of course ! | |
| Dec 7, 2012 at 11:45 | answer | added | Dima Pasechnik | timeline score: 2 | |
| Dec 7, 2012 at 4:53 | history | asked | darij grinberg | CC BY-SA 3.0 |