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:
“[T]he judicious reader ought to know what the chief character in any work of the imagination will naturally perform, according to the situation he is thrown into, as well as doth the author himself.”
—Sarah Fielding (1710–1768)
“Black women ... work because their husbands can’t make enough money at their jobs to keep everything going.... They don’t go to work to find fulfillment, or adventure, or glamour and romance, like so many white women think they are doing. Black women work out of necessity.”
—Wilma Rudolph (1940–1994)
“How did you get in the Navy? How did you get on our side? Ah, you ignorant, arrogant, ambitious—keeping sixty two men in prison cause you got a palm tree for the work they did. I don’t know which I hate worse, you or that malignant growth that stands outside your door. How did you ever get command of a ship? I realize in wartime they have to scrape the bottom of the barrel. But where’d they ever scrape you up?”
—Frank S. Nugent (1908–1965)