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 are of particular interest because the Adams (-Novikov) spectral sequence converges to them.
Read more about Adams Filtration: Definition
Famous quotes containing the word adams:
“There are two things that seem to be at the bottom of our constitutions; one is a continual tendency towards politics; the other is family pride; and it is strange how these two feelings run through all of us.”
—Henry Brooks Adams (1838–1918)