I’ve added a skeleton of a new chapter on homotopical stuff. In particular, the hope is that this will cover the basic theory of model categories and simplicial sets. The motivation is to discuss applications of homotopical methods in commutative algebra, in particular the cotangent complex.

So far the material is largely taken from these notes on algebraic topology.

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This entry was posted on April 14, 2011 at 5:12 am and is filed under announcements.

April 15, 2011 at 3:46 am

Is it meant to not be public right now? There is a permission issue when I tried to look at it. The cotangent complex is great! I’m glad to see it here.

April 15, 2011 at 4:11 am

Thanks for pointing that out; I’ve fixed the permissions. The cotangent complex isn’t yet in the book, but I’m planning to add it shortly.