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:
“What is the reason that women servants ... have much lower wages than men servants ... when in fact our female house servants work much harder than the male?”
—Samuel Johnson (1709–1784)
“We know that a man can read Goethe or Rilke in the evening, that he can play Bach and Schubert, and go to his day’s work at Auschwitz in the morning.”
—George Steiner (b. 1929)
“... actresses require protection in their art from blind abuse, from savage criticism. Their work is their religion, if they are seeking the best in their art, and to abuse that faith is to rob them, to dishonor them.”
—Nance O’Neil (1874–1965)