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:
“The work of the miner has its unavoidable incidents of discomfort and danger, and these should not be increased by the neglect of the owners to provide every practicable safety appliance. Economies which involve a sacrifice of human life are intolerable.”
—Benjamin Harrison (1833–1901)
“Let us work without theorizing, ‘tis the only way to make life endurable.”
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“Not rarely, and this is especially true of wives and mothers, the motive behind assuming a disproportionate share of work and responsibility is completely unselfish. We want to protect, to spare those of whom we are fond. We forget that, regardless of the motive, the results of such action are almost always destructive and unproductive.”
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