Timeline for Definition of "simplicial complex"
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 22, 2009 at 9:59 | comment | added | Gil Kalai | There are many interesting notions of complexes (and more general structures on spaces) from the point of view of combinatorics. A natural condition (which is satisfied even by regular CW complexes) is that the combinatorics of the cells determones the topology of the space described by the complex. (But some combinatorics can be done even if this condition is violated.) Simplicial complexes in the second definition has also the advantage that they can be embedded linearly (not just PW linearly) to Euclidean spaces. Also cubical complexes are interesting in combinatorics and topology. | |
| Nov 20, 2009 at 18:56 | comment | added | Gil Kalai | right, i meant 7 vertices... | |
| Nov 20, 2009 at 18:08 | comment | added | S. Carnahan♦ | If I'm not mistaken, you only need 7 0-simplices, but you also need 21 1-simplices and 14 2-simplices. | |
| Nov 20, 2009 at 16:52 | history | answered | Gil Kalai | CC BY-SA 2.5 |