Cup Product

In mathematics, specifically in algebraic topology, the cup product is a method of adjoining two cocycles of degree p and q to form a composite cocycle of degree p + q. This defines an associative (and distributive) graded commutative product operation in cohomology, turning the cohomology of a space X into a graded ring, H∗(X), called the cohomology ring. The cup product was introduced in work of J. W. Alexander, Eduard Čech and Hassler Whitney from 1935–1938, and, in full generality, by Samuel Eilenberg in 1944.

Read more about Cup Product:  Definition, Properties, Interpretation, Examples, Massey Products

Famous quotes containing the words cup and/or product:

    If you desire to drain to the dregs the fullest cup of scorn and hatred that a fellow human being can pour out for you, let a young mother hear you call dear baby “it.”
    Jerome K. Jerome (1859–1927)

    The end product of child raising is not only the child but the parents, who get to go through each stage of human development from the other side, and get to relive the experiences that shaped them, and get to rethink everything their parents taught them. The get, in effect, to reraise themselves and become their own person.
    Frank Pittman (20th century)