William Mitchell (mathematician)

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William John Mitchell (* around 1943 in Minneapolis ) is an American mathematician who deals with axiomatic set theory.

Mitchell studied at the University of Wisconsin (bachelor's degree in 1965) and received his doctorate in 1970 from the University of California, Berkeley , under Robert Solovay ( Aronszajn Trees and the Independence of the Transfer Property ). As a post-graduate student , he was an instructor at the University of Chicago . From 1972 to 1977 he was an assistant professor at Rockefeller University and from 1977/78 at the Institute for Advanced Studies of Humanities in New York. 1979 to 1990 he was Associate Professor at Pennsylvania State University and from 2002 Professor at the University of Florida .

Among other things, he dealt with the hypothesis of singular cardinal numbers. The Mitchell order in the theory of cardinal numbers is named after him.

Web links

Individual evidence

  1. Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
  3. ^ Mitchell On the singular cardinal hypothesis , Trans. Amer. Math. Soc., Vol. 329, 1992, pp. 507-530
  4. Mitchell Sets constructible from sequences of ultrafilters , Journal of Symbolic Logic, Volume 39, 1974, pp. 57-66