The poset of posets
Event details
| Date | 01.11.2013 |
| Hour | 15:15 |
| Speaker | Serge Bouc [Amiens] |
| Location |
MAA330
|
| Category | Conferences - Seminars |
Abstract : Let X be a finite set. The set of order relations on X is naturally partially ordered by inclusion of relations. The resulting poset is called the poset of posets on X. In this talk, I will look at topological and combinatorial properties of this poset, and show in particular that all its intervals are either contractible, or have the homotopy type of a sphere. This leads to a complete determination of the Möbius function of the poset of posets.
Practical information
- Expert
- Free
Organizer
- Jacques Thévenaz