Arthur Harold Stone

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Arthur Harold Stone (born September 30, 1916 in Islington , North London , † August 6, 2000 ) was a British mathematician who dealt mainly with general topology.

He was the son of Jewish immigrants from Romania , in England, where they were from about 1913, changed their name Petrescu in Stone, and studied on a scholarship in 1935 at the Trinity College of Cambridge University (with bachelor's degree in 1938 with honors, he Wrangler was in the Tripos ) and the master’s degree in 1939. He then went to Princeton University , where he received his doctorate in 1941 under Solomon Lefschetz ( Connectedness and coherence ). Because of the dissertation he became a Fellow of Trinity College. As a post-doctoral student he was at the Institute for Advanced Study in 1941/42 and then at Purdue University . 1944/45 he worked on militarily important research at the Geophysical Laboratory of the Carnegie Institution in Washington, DC From 1946 he was back at Trinity College in Cambridge. In 1948 he became a lecturer at Manchester University , where he was senior lecturer in 1957. From 1961 he was professor of mathematics at the University of Rochester , where he retired in 1987. After his retirement he was Adjunct Professor at Northeastern University from 1988 .

He was visiting professor in Colombia (1961), at Yale University (1965/66) and at the Australian National University (1978).

In 1948 he showed that all metrizable rooms are paracompact and thus solved a problem for Jean Dieudonné .

In the 1940s he published with John W. Tukey and Paul Erdős .

With his fellow students from Trinity College William Thomas Tutte , Cedric Smith and R. Leonard Brooks , he published under the pseudonym Blanche Descartes . All four also solved the squaring of the square problem (dividing a square into smaller squares) in 1940 and published on electrical flows in graphs.

As a student at Princeton in the 1940s, he worked with Richard Feynman , Bryant Tuckerman and John W. Tukey to develop the entertainment- mathematical field of flexagon (special paper folds, started by him to adapt US paper formats to his English binder). In Princeton he married the mathematician Dorothy Maharam (* 1917) in 1942, with whom he also published. His children David and Ellen also became mathematicians. Dorothy Maharam is also independently known for contributions to the theory of measure. She was also a professor at the University of Rochester.

He was a good violinist and chess player.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ Para Compactness and product spaces. Bull. Amer. Math. Soc. 54 (1948) 977-982.
  3. ↑ Generalized "sandwich" theorems. Duke Math. J. 9 (1942) 356-359.
  4. ↑ Brooks, Smith, Stone, Tutte: Determinants and current flows in electric networks. Discrete Mathematics, Volume 100, 1992, pp. 291-301.
personal data
SURNAME Stone, Arthur Harold
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH September 30, 1916
PLACE OF BIRTH Islington , North London
DATE OF DEATH August 6, 2000