Timeline for Simplicial and cubical decompositions of low valence
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 2, 2010 at 20:07 | comment | added | Gil Kalai | Dear Dimitri, unfortunately I cannot answer your precise question and also I dont have a clear intuition what the answer should be. Regarding cubical structure and your conjecture I wonder if already the n dimensional torus can have a cubical structure where the degree of every vertex is less than 2^d. | |
| Jan 2, 2010 at 19:49 | comment | added | Dmitri Panov | Gil, thanks for your answer I will have a look, curious to know about 5 types! By the way, the finiteness of types for cubes can be deduced quickly from finitenss for simplexes. The point is that a simplex of dimension $n$ can be decomposed in $n!$ cubes in a canoncial way. So every simplicial decomposition produces a "cubisation", somewhat similar to the baricentric decomposition | |
| Jan 2, 2010 at 19:33 | history | answered | Gil Kalai | CC BY-SA 2.5 |