nLab
Atiyah–Hirzebruch spectral sequence

Context

Homological algebra

homological algebra

and

nonabelian homological algebra

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Homology theories

Theorems

Contents

Idea

A kind of spectral sequence.

tower diagram/filteringspectral sequence of a filtered stable homotopy type
filtered chain complexspectral sequence of a filtered complex
Whitehead towerAtiyah-Hirzebruch spectral sequence
chromatic towerchromatic spectral sequence
skeleta of simplicial objectspectral sequence of a simplicial stable homotopy type
skeleta of Cech nerve of E-∞ algebraAdams spectral sequence
filtration by support
slice filtrationslice spectral sequence

References

  • M. F. Atiyah, F. Hirzebruch, Vector bundles and homogeneous spaces, 1961, Proc. Sympos. Pure Math., Vol. III pp. 7–38 American Mathematical Society, Providence, R.I., MR 0139181.

  • Nobuaki Yagita, Applications of the Atiyah-Hirzebruch spectral sequences for motivic cobordisms (pdf)

Revised on April 15, 2015 14:06:27 by Adeel Khan (2.246.67.155)