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:
“Nearly all our powerful men in this age of the world are unbelievers; the best of them in doubt and misery; the worst of them in reckless defiance; the plurality in plodding hesitation, doing, as well as they can, what practical work lies ready to their hands.”
—John Ruskin (1819–1900)
“Some are “industrious,” and appear to love labor for its own sake, or perhaps because it keeps them out of worse mischief; to such I have at present nothing to say. Those who would not know what to do with more leisure than they now enjoy, I might advise to work twice as hard as they do,—work till they pay for themselves, and get their free papers.”
—Henry David Thoreau (1817–1862)
“There was a deserted log camp here, apparently used the previous winter, with its “hovel” or barn for cattle.... It was a simple and strong fort erected against the cold, and suggested what valiant trencher work had been done there.”
—Henry David Thoreau (1817–1862)