nLab Modern foundations for stable homotopy theory



Homotopy theory

homotopy theory, (∞,1)-category theory, homotopy type theory

flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed

models: topological, simplicial, localic, …

see also algebraic topology



Paths and cylinders

Homotopy groups

Basic facts


Stable Homotopy theory

This pages collects links related to

on the basics of stable homotopy theory in terms of the model category of S-modules with its symmetric smash product of spectra.


1. Spectra and the stable homotopy category

2. Smash products and twisted half-smash products

3. The category of SS-modules and its derived category

4. The smash product of SS-modules

5. A A_\infty and E E_\infty ring spectra and their categories of modules

6. The smash product of RR-modules and function RR-modules

7. TorTor and ExtExt in topology and algebra

8.Universal coefficients and Künneth spectral sequence

9. Algebraic constructions in the derived category of RR-modules

10. Algebra structures on localizations and on quotients by ideals

11. The specialization of MUMU-modules and algebras

category: reference

Last revised on January 21, 2016 at 08:06:05. See the history of this page for a list of all contributions to it.