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 Jean Leray (1946), they have become an important research tool, particularly in homotopy theory.
Read more about Spectral Sequence: Discovery and Motivation, Formal Definition, Exact Couples, Visualization, Convergence, Degeneration, and Abutment, Further Examples
Famous quotes containing the words spectral and/or sequence:
“How does one kill fear, I wonder? How do you shoot a spectre through the heart, slash off its spectral head, take it by its spectral throat?”
—Joseph Conrad (18571924)
“We have defined a story as a narrative of events arranged in their time-sequence. A plot is also a narrative of events, the emphasis falling on causality. The king died and then the queen died is a story. The king died, and then the queen died of grief is a plot. The time sequence is preserved, but the sense of causality overshadows it.”
—E.M. (Edward Morgan)