topos – Konrad Voelkel's Blog – Mathemagically

mathematics and other sciences, useful software and some philosophy

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Walk-through to Morel-Voevodsky A¹-homotopy theory, page 48-50

5 February, 2010 in category english, Walkthrough to Morel-Voevodsky A1-homotopy theory by Konrad Voelkel.

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.

Categorical background for A¹-homotopy theory (simplicial model categories)

7 December, 2009 in category english, Walkthrough to Morel-Voevodsky A1-homotopy theory by Konrad Voelkel.

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