Spectral sequence
TOOL IN HOMOLOGICAL ALGEBRA
Spectrum sequence; Spectral sequences; Derived couple; Wang sequence; Edge map; Cohomological spectral sequence; Homological spectral sequence
In homological algebra and algebraic topology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization of exact sequences, and since their introduction by , they have become important computational tools, particularly in algebraic topology, algebraic geometry and homological algebra.