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What is a Convex Set?

by Victor Klee

Year of Award: 1972

Publication Information: The American Mathematical Monthly, vol. 78, 1971, pp. 616-631

Summary: After some preliminary definitions, Klee discusses the following aspects of convexity: quantitative, combinatorial, and qualitative. There is an extensive bibliography of additional readings.

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About the Author: (from The American Mathematical Monthly, vol. 78, (1971)) Victor Klee did his undergraduate work at Pomona College and went on to the Ph.D. at the University of Virginia under Prof. E.J. McShane. He was in the Faculty at Virginia for several years and spent a year at the Institute of Advanced Study before he joined the Faculty at the University of Washington. He has spent two years leave of absence at the University of Copenhagen and one year at UCLA; he received an Honorary Degree from Pomona College in 1965. He has done extensive research on convexity, combinatorics, functional analysis, topology and related fields. He served on the Council of the A.M.S. and has also devoted considerable energy to the MAA; it suffices to note that he is the current President. In addition to numerous research papers, Professor Klee edited the AMS Pure Mathematics Symposium Vol. 7, Convexity (1963) and was the translator of Combinatorial Geometry in the Plane by Hadwider and Debrunner (HRW 1964).


Subject classification(s): Index
Publication Date: 
Wednesday, September 24, 2008