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
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“Here is everything which can lay hold of the eye, ear and imagination—everything which can charm and bewitch the simple and ignorant. I wonder how Luther ever broke the spell.”
—John Adams (1735–1826)