Holmstrom Spectral sequence examples

http://mathoverflow.net/questions/3329/what-is-known-about-k-theory-and-k-homology-groups-of-free-loop-spaces

http://mathoverflow.net/questions/45036/spectral-sequences-opening-the-black-box-slowly-with-an-example/45038#45038

http://mathoverflow.net/questions/77071/generalized-beilinson-spectral-sequences

http://mathoverflow.net/questions/100591/galois-acting-on-l-adic-cohomology

http://mathoverflow.net/questions/32248/extraordinary-cohomology-as-a-derived-functor

http://mathoverflow.net/questions/34754/are-the-homology-and-cohomology-serre-spectral-sequences-dual-to-each-other

Descent spectral sequence

http://mathoverflow.net/questions/74320/multiplicativity-in-the-descent-spectral-sequence

Leray spectral sequence

Local to global ss

Grothendieck ss

Goerss-Jardine IV.5. It is defined for any map p:EBp: E \to B of simplicial sets, and converges to the homology of EE. If pp is a fibration we recover the Serre spectral sequence.

Homotopy ss of a cosimplicial space

From Goerss-Jardine ch VII: One of the most commonly used tools in homotopy theory is the homotopy spectral sequence of a cosimplicial space. This first appeared in the work of Bousfield and Kan [14] and has been further analyzed by Bousfield [10]. Two of the standard examples include the Bousfield-Kan spectral sequence — an unstable Adams spectral sequence that arose before the general example [7] — and the spectral sequence for computing the homotopy groups of the homotopy inverse limit of a diagram of pointed spaces. One of the main purposes of this chapter is to define and discuss this kind of spectral sequence. We will do much more however; for example, we will give a detailed analysis of the total tower of a cosimplicial space, which is the basic object from which the spectral sequence is derived.

nLab page on Spectral sequence examples

Created on June 9, 2014 at 21:16:14 by Andreas Holmström