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:
“Never can the innate power of a work be hidden or locked away. A work of art can be forgotten by time; it can be forbidden and rejected but the elemental will always prevail over the ephemeral.”
—Stefan Zweig (18811942)
“And now my work is done, which neither the anger of
Jove, nor fire, nor sword, nor the gnawing tooth of time
shall ever be able to undo.... Wherever Rome’s power
extends over the conquered world, I shall have mention
on men’s lips.”
—Ovid (Publius Ovidius Naso)
“Perpetual modernness is the measure of merit, in every work of art; since the author of it was not misled by anything short- lived or local, but abode by real and abiding traits.”
—Ralph Waldo Emerson (1803–1882)