Walk-through to Morel-Voevodsky A¹-homotopy theory, page 48-50
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.
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about the works of Vladimir Voevodsky
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.
Here is the second part of my walk-through to Morel-Voevodskys A¹-homotopy theory. I give a proof of Lemma 1.1 on page 48.
As I'm currently reading Voevodskys paper on A¹-homotopy theory of schemes, I will by and by write a little "walk-through" with hints & comments on how to find additional information to better (or even start to) understand the paper.
http://blog.konradvoelkel.de/2010/02/walk-through-to-morel-voevodskys-a1-homotopy-theory-page-48-50/