James Dugundji

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James Dugundji (born August 30, 1919 in New York City , † January 8, 1985 ) was an American mathematician who studied topology and theoretical chemistry .

Dugundji was the son of Greek immigrants. He studied mathematics at New York University with a bachelor's degree in 1940 and then studied at the University of North Carolina at Chapel Hill with Witold Hurewicz . After military service in the US Air Force in World War II , he continued his studies with Hurewicz at the Massachusetts Institute of Technology in 1946, where he received his doctorate in 1948 with the dissertation Fundamental Group Properties for Spaces Which are Not LC (1) . He spent the rest of his career from 1948 at the University of Southern California with a full professorship from 1958.

He is known as the author of a textbook on general topology and a monograph on fixed point theorems of topology. The continuation of Dugundji is named after him. He also dealt with dynamic systems , functional analysis and applications of mathematics in electrical engineering , geology and theoretical chemistry.

He was long-time co-editor of the Pacific Journal of Mathematics and Topology and its Applications . In 1977 and 1980 he received the Humboldt Research Award .

Fonts

  • Topology, Allyn and Bacon. 1966.
  • with Andrzej Granas: Fixed Point Theory. Volume 1, Państwowe Wydawnictwo Naukowe, Warsaw 1982, complete edition in the 2nd edition, Springer, 2003
  • with I. Ugi , R. Kopp, D. Marquarding: Perspectives in Theoretical Stereochemistry. Springer, 1984.
  • An extension of Tietze's theorem . In: Pacific J. Math. Vol. 1, 1951, pp. 353-367
  • Absolute neighborhood retracts and local connectedness of arbitrary metric spaces. In: Compositio Mathematicae. Volume 13, 1958, pp. 229-246.

literature

  • Jacek Jachymski, Simeon Reich: Introduction. In: Fixed point theory and its applications . Banach Center Publications, Warsaw 2007 (Conference dedicated to Dugundji at the Banach Center 2005, pdf ).

Individual evidence

  1. ^ El Rodeo, University of Southern California Yearbook, Volume 80 (1985), 305
  2. ↑ James Dugundji in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Dugundji, James
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH August 30, 1919
PLACE OF BIRTH New York City
DATE OF DEATH January 1985