Timeline for An example of a "simple poset" which does not belong to a convex polytope
Current License: CC BY-SA 4.0
18 events
| when toggle format | what | by | license | comment | |
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| Sep 29, 2019 at 20:32 | vote | accept | giulio bullsaver | ||
| Sep 29, 2019 at 17:57 | comment | added | giulio bullsaver | Yeah I see your point...perhaps I could sharpen the question by requiring the correct homology groups... | |
| Sep 29, 2019 at 16:32 | comment | added | Sam Hopkins | Until you actually specify the criteria for your data, one of those criteria could just be that it arises from a simple polytope and so your question becomes vacuous. | |
| Sep 29, 2019 at 14:36 | history | edited | giulio bullsaver | CC BY-SA 4.0 |
Further clarification of the question
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| Sep 29, 2019 at 12:33 | vote | accept | giulio bullsaver | ||
| Sep 29, 2019 at 12:49 | |||||
| Sep 29, 2019 at 4:31 | answer | added | David E Speyer | timeline score: 6 | |
| Sep 29, 2019 at 1:23 | history | became hot network question | |||
| Sep 28, 2019 at 22:58 | comment | added | Joseph O'Rourke | Related: (1) Can you determine whether a graph is the 1-skeleton of a polytope?. (2) Minimal combinatorial data needed to define a polytope. | |
| Sep 28, 2019 at 20:55 | comment | added | giulio bullsaver | 1) Every "vertex", i.e. lowest element of it should have always d adjacent vertices 2) All the combinatorial requirement that would be implied by the poset being the face lattice of a convex polytope be satisfied. (Things such as euler characteristic or more generally homology groups computed by interpreting the poset as a CW complex) | |
| Sep 28, 2019 at 20:50 | comment | added | Sam Hopkins | Your question still seems imprecise: what do you require about the poset? | |
| S Sep 28, 2019 at 20:43 | history | suggested | M. Winter | CC BY-SA 4.0 |
Adapted title to fit the current content
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| Sep 28, 2019 at 20:39 | review | Suggested edits | |||
| S Sep 28, 2019 at 20:43 | |||||
| Sep 28, 2019 at 20:14 | answer | added | M. Winter | timeline score: 5 | |
| Sep 28, 2019 at 19:04 | comment | added | Joseph O'Rourke | (I think you should un-accept my answer, which addresses only the original question.) | |
| Sep 28, 2019 at 18:37 | history | edited | giulio bullsaver | CC BY-SA 4.0 |
Generalised the question due to a first answer
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| Sep 28, 2019 at 18:28 | vote | accept | giulio bullsaver | ||
| Sep 29, 2019 at 12:33 | |||||
| Sep 28, 2019 at 17:33 | answer | added | Joseph O'Rourke | timeline score: 5 | |
| Sep 28, 2019 at 17:21 | history | asked | giulio bullsaver | CC BY-SA 4.0 |