Work
His definition of CW complexes gave a setting for homotopy theory that became standard. He introduced the idea of simple homotopy theory, which was later much developed in connection with algebraic K-theory. The Whitehead product is an operation in homotopy theory. The Whitehead problem on abelian groups was solved (as an independence proof) by Saharon Shelah. His involvement with topology and the Poincaré conjecture led to the creation of the Whitehead manifold. The definition of crossed modules is due to him. Whitehead also made important contributions in differential topology, particularly on triangulations and their associated smooth structures.
Read more about this topic: J. H. C. Whitehead
Famous quotes containing the word work:
“Even if matter could do every outward thing that God does, the idea of it would not work as satisfactorily, because the chief call for a God on modern men’s part is for a being who will inwardly recognize them and judge them sympathetically. Matter disappoints this craving of our ego, so God remains for most men the truer hypothesis, and indeed remains so for definite pragmatic reasons.”
—William James (1842–1910)
“I watched a small man with thick calluses on both hands work fifteen and sixteen hours a day. I saw him once literally bleed from the bottoms of his feet, a man who came here uneducated, alone, unable to speak the language, who taught me all I needed to know about faith and hard work by the simple eloquence of his example.”
—Mario Cuomo (b. 1932)
“You say that you do not succeed much. Does it concern you enough that you do not? Do you work hard enough at it? Do you get the benefit of discipline out of it? If so persevere. Is it a more serious thing than to walk a thousand miles in a thousand successive hours? Do you get any corns by it? Do you ever think of hanging yourself on account of failure?”
—Henry David Thoreau (1817–1862)