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:
“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)
“What we often take to be family values—the work ethic, honesty, clean living, marital fidelity, and individual responsibility—are in fact social, religious, or cultural values. To be sure, these values are transmitted by parents to their children and are familial in that sense. They do not, however, originate within the family. It is the value of close relationships with other family members, and the importance of these bonds relative to other needs.”
—David Elkind (20th century)
“The common experience is, that the man fits himself as well as he can to the customary details of that work or trade he falls into, and tends it as a dog turns a spit. Then he is part of the machine he moves; the man is lost.”
—Ralph Waldo Emerson (1803–1882)