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:
“In some withdrawn, unpublic mead
Let me sigh upon a reed,
Or in the woods, with leafy din,
Whisper the still evening in:
Some still work give me to do,—
Only—be it near to you!
For I’d rather be thy child
And pupil, in the forest wild,
Than be the king of men elsewhere,
And most sovereign slave of care:
To have one moment of thy dawn,
Than share the city’s year forlorn.”
—Henry David Thoreau (1817–1862)
“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)
“We work to eat to get the strength to work to eat to get the strength to work to eat to get the strength to work to eat to get the strength to work.”
—John Dos Passos (1896–1970)