J. H. C. Whitehead - Work

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:

    Shopping seemed to take an entirely too important place in women’s lives. You never saw men milling around in men’s departments. They made quick work of it. I used to wonder if shopping was a form of escape for women who had no worthwhile interests.
    Mary Barnett Gilson (1877–?)

    Does Job fear God for nothing? Have you not put a fence around him and his house and all that he has, on every side? You have blessed the work of his hands, and his possessions have increased in the land. But stretch out your hand now, and touch all that he has, and he will curse you to your face.”
    Bible: Hebrew, Job 1:9-11.

    Satan to God.

    Ligarius. What’s to do?
    Brutus. A piece of work that will make sick men whole.
    William Shakespeare (1564–1616)