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:
“You seem to have no real purpose in life and won’t realize at the age of twenty-two that for a man life means work, and hard work if you mean to succeed.”
—Jennie Jerome Churchill (1854–1921)
“I have done a great deal of work, as much as a man, but did not get so much pay. I used to work in the field and bind grain, keeping up with the cradler; but men doing no more, got twice as much pay.... We do as much, we eat as much, we want as much.”
—Sojourner Truth (1797–1883)
“Weary with toil, I haste me to my bed,
The dear repose for limbs with travel tired;
But then begins a journey in my head
To work my mind, when body’s work’s expired:”
—William Shakespeare (1564–1616)