Walkthrough to Morel-Voevodsky A1-homotopy theory – Konrad Voelkel's Blog

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Subject: Walkthrough to Morel-Voevodsky A1-homotopy theory

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

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

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 Walkthrough to Morel-Voevodsky A1-homotopy theory, english by Konrad.

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

Walk-through to Morel-Voevodsky A¹-homotopy theory part II (page 48, Lemma 1.1)

4 November, 2009 in category Walkthrough to Morel-Voevodsky A1-homotopy theory, english by Konrad.

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.

Walk-through to Morel-Voevodsky: A¹-homotopy theory of schemes (1999)

20 October, 2009 in category Walkthrough to Morel-Voevodsky A1-homotopy theory, english by Konrad.

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.