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:
“Sleep, beloved, such a sleep
As did that wild Tristram know
When, the potion’s work being done,
Roe could run or doe could leap
Under oak and beechen bough,
Roe could leap or doe could run....”
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“Then, bringing me the joy we feel when wee see a work by our favorite painter which differs from any other that we know, or if we are led before a painting of which we have until then only seen a pencil sketch, if a musical piece heard only on the piano appears before us clothed in the colors of the orchestra, my grandfather called me the [hawthorn] hedge at Tansonville, saying, “You who are so fond of hawthorns, look at this pink thorn, isn’t it lovely?””
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“We’d like to fight but we fear defeat,
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