Adams Spectral Sequence

In mathematics, the Adams spectral sequence is a spectral sequence introduced by Adams (1958). Like all spectral sequences, it is a computational tool; it relates homology theory to what is now called stable homotopy theory. It is a reformulation using homological algebra, and an extension, of a technique called 'killing homotopy groups' applied by the French school of Henri Cartan and Jean-Pierre Serre.

Read more about Adams Spectral Sequence:  Motivation, Classical Formulation, Calculations, Generalizations

Famous quotes containing the words adams, spectral and/or sequence:

    “Members of the faculty, faculty members, students of Huxley and Huxley students. I guess that covers everything.”
    —S.J. Perelman, U.S. screenwriter, Bert Kalmar, Harry Ruby, and Norman Z. McLeod. Professor Quincy Adams Wagstaff (Groucho Marx)

    “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 (1857–1924)

    “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)