homotopy – Konrad Voelkel's Blog – Mathemagically

This is an extended abstract for Konrad Voelkel's diploma thesis.

I just found, purely by luck, a recent blog about chromatic homotopy theory and various other mathematical topics. It's a group blog called Chromotopy, written by Brendan Pawlowski, Eric Peterson, Erik Davis and Stephen Checkoway. They started February 2010. The first posts (from Feb 2010 to June 2010): Grand opening Schreier theory Jordan type of [...]

Chapter 2.1. Homotopy theory of simplicial sheaves: The simplicial model category structure. Discussion of 1.2, 1.3, 1.4, 1.5, 1.6, 1.8, 1.9, 1.10.

Background needed to understand Morel-Voevodsky's paper "A¹-homotopy theory". I explain simplicial sets, topoi, monoidal categories, enriched categories and simplicial model categories.