Homotopy theory

Adams filtration

In mathematics, especially in the area of algebraic topology known as stable homotopy theory, the Adams filtration and the Adams–Novikov filtration allow a stable homotopy group to be understood as built from layers, the nth layer containing just those maps which require at most n auxiliary spaces in order to be a composition of homologically trivial maps. These filtrations, named after Frank Adams and Sergei Novikov, are of particular interest because the Adams (–Novikov) spectral sequence converges to them. (Wikipedia).

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Related pages

Filtration (mathematics) | Singular homology | Mathematics | Adams spectral sequence | Stable homotopy theory | Frank Adams | Group (mathematics) | Algebraic topology