Speaker
Dr
Georg Biedermann
(Nantes)
Description
(Joint with G. Raptis and M. Stelzer)
Unstable coalgebras form the natural target category for mod p singular homology of spaces. We construct a tower of spaces converging to the moduli space of realizations of an unstable
coalgebra C ie spaces whose mod p homology is isomorphic to C. As a consequence we can reformulate, unify and generalize associated obstruction theories by Harper, Bousfield and
Blanc. We adapt the approach taken by Blanc/Dwyer/Goerss for realizing \Pi-algebras.
One long term goal is to obtain an analogous deformation theory for mod p coefficients as in the
rational case given by Schlessinger/Stasheff.
| Mots Clés / Keywords | Realization; unstable coalgebra; moduli space |
|---|
Author
Dr
Georg Biedermann
(Nantes)
