Small CW-models for Eilenberg-MacLane spaces

Clemens Berger – 7 March 2007

In this talk, I shall explain how to construct out of Joyal's cell category Theta comparatively small CW-models for Eilenberg-MacLane spaces. The cellular structure is completely encoded by some tree combinatorics. In particular, Serre's calculations of the cohomology mod 2 of K(Z/2,n) can be done on cochain level.