James Dugundji (August 30, 1919 – January 8, 1985) was an American mathematician, a professor of mathematics at the
University of Southern California.[1][2]
Dugundji is the author of the textbook Topology (Allyn and Bacon, 1966), on
general topology. Reviewer M. Edelstein wrote that this was "one of the best among the numerous books on the subject",[4] and it went through numerous reprintings.[5] With Andrzej Granas he also wrote the research monograph Fixed Point Theory; originally planned as a two-volume series, the first volume was published by
Państwowe Wydawnictwo Naukowe in 1982, and the complete text was published as a single volume in 2003 by
Springer-Verlag.[6][7][8] Reviewer A. G. Kartsatos called the completed volume "the most comprehensive, well-written and complete book on
fixed point theory to date".[7]
In his own research, as well as producing highly cited works on problems of pure mathematics such as the
Tietze extension theorem,[9] Dugundji did important early work in
cheminformatics.[10] With co-authors
I. Ugi, R. Kopp and D. Marquarding, he wrote a book on this subject as well, Perspectives in Theoretical Stereochemistry (Springer, 1984).[2]
In 2005, an international conference on fixed point theorems was held in Dugundji's memory in
Będlewo,
Poland.[11]
^
abMardešić, Sibe (1999), "Absolute neighborhood retracts and shape theory", in James, Ioan Mackenzie (ed.), History of Topology, Amsterdam: North-Holland, pp. 241–269,
doi:
10.1016/B978-044482375-5/50010-9,
MR1674915. See in particular
p. 244 for a brief biography of Dugundji.
^Dugundji, J. (1951), "An extension of Tietze's theorem", Pacific Journal of Mathematics, 1 (3): 353–367,
doi:10.2140/pjm.1951.1.353,
MR0044116.
^Dugundji, James;
Ugi, Ivar (1973), "An algebraic model of constitutional chemistry as a basis for chemical computer programs", Computers in Chemistry, Topics in Current Chemistry, vol. 39/1, Springer-Verlag, pp. 19–64,
doi:
10.1007/BFb0051317.
^Jachymski, Jacek; Reich, Simeon (2007), Jachymski, Jacek; Reich, Simeon (eds.), Fixed Point Theory and its Applications: Proceedings of the International Conference dedicated to the memory of Professor James Dugundji, held in Będlewo, August 1–5, 2005, Banach Center Publications, vol. 77, Warsaw: Polish Academy of Sciences Institute of Mathematics,
doi:
10.4064/bc77,
MR2341373.