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Questions asking for recommendations of textbooks on some subject. It can be helpful to indicate whether the request is for self-study, for use in a course one teaches, for use accompanying a course one takes etc., and to give some additional details on the context. Typically, additional tags are used to indicate the subject. For other questions on books, please use the tag books. Also, see reference-request for a related tag.

8 votes

Algebraic topology beyond the basics: any texts bridging the gap?

First of all I want to comment that beyond the two "standard textbooks" Andrew L. mentioned (Switzer and Whitehead), there is at least Adams's classic "Stable Homotopy and Generalised Homology", which …
14 votes

Modern source for spectra (including ring spectra)

There is probably no ideal source for this. The canonical choice for symmetric spectra is probably Stefan Schwede's book project http://www.math.uni-bonn.de/~schwede/SymSpec.pdf . There you will find …
8 votes
Accepted

Good introductory references on moduli (stacks), for arithmetic objects

If you want to learn about stacks, I can recommend 'Fundamental Algebraic Geometry: Grothendieck's FGA Explained'. Vistoli's exposition of the basic theory of stacks is hard to beat, I think. Moreover …
Lennart Meier's user avatar
3 votes

What books should I read before beginning Masaki Kashiwara and Pierre Schapira's "Sheaves on...

I think, the first volume of Harder's Lectures on Algebraic Geometry contains a nice and balanced account of sheaf theory and the cohomology of sheaves. Besides the title, it is not really a book abou …