A Cellular Version of Blakers-Massey
Event details
| Date | 10.10.2014 |
| Hour | 14:15 › 15:30 |
| Speaker | Kay Werndli (EPFL) |
| Location |
MA 30
|
| Category | Conferences - Seminars |
Starting from the homotopy pushout D of a diagram B <--- A ---> C, we measure how far the homotopy pushout square is from being a homotopy pullback by studying the fibre of the comparison map A ---> P = holim(B ---> D <--- C). The classical Blakers-Massey theorem does so by just looking at its connectivity. In 1995, Wojciech Chachólski generalised this theorem and put it into a more modern framework by establishing a cellular inequality between the fibres of A ---> B and A ---> C and the fibre of the suspension of the above-mentioned comparison map. By relaxing the cellular inequality relation, we are able to lose the suspension and establish a direct relation between the Bousfield classes of the fibres involved. This is joint work with Wojciech Chachólski and Jérôme Scherer.
Links
Practical information
- Informed public
- Free
Organizer
- Kathryn Hess (EPFL)