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Notices Ofof the American Mathematicalmathematical Society June/July 2019 Volume 66, Number 6
ISSN 0002-9920 (print) ISSN 1088-9477 (online) Notices ofof the American MathematicalMathematical Society June/July 2019 Volume 66, Number 6 The cover design is based on imagery from An Invitation to Gabor Analysis, page 808. Cal fo Nomination The selection committees for these prizes request nominations for consideration for the 2020 awards, which will be presented at the Joint Mathematics Meetings in Denver, CO, in January 2020. Information about past recipients of these prizes may be found at www.ams.org/prizes-awards. BÔCHER MEMORIAL PRIZE The Bôcher Prize is awarded for a notable paper in analysis published during the preceding six years. The work must be published in a recognized, peer-reviewed venue. CHEVALLEY PRIZE IN LIE THEORY The Chevalley Prize is awarded for notable work in Lie Theory published during the preceding six years; a recipi- ent should be at most twenty-five years past the PhD. LEONARD EISENBUD PRIZE FOR MATHEMATICS AND PHYSICS The Eisenbud Prize honors a work or group of works, published in the preceding six years, that brings mathemat- ics and physics closer together. FRANK NELSON COLE PRIZE IN NUMBER THEORY This Prize recognizes a notable research work in number theory that has appeared in the last six years. The work must be published in a recognized, peer-reviewed venue. Nomination tha efl ec th diversit o ou professio ar encourage. LEVI L. CONANT PRIZE The Levi L. Conant Prize, first awarded in January 2001, is presented annually for an outstanding expository paper published in either the Notices of the AMS or the Bulletin of the AMS during the preceding five years. -
Kiiti Morita 19151995
morita.qxp 5/21/97 4:03 PM Page 680 Kiiti Morita 1915–1995 A. V. Arhangel´skii, K. R. Goodearl, and B. Huisgen-Zimmermann iiti Morita, a pioneer in both algebra fluential work in this area and of its continua- and topology, died in Tokyo on Au- tion and ramifications within current research. gust 4, 1995, at the age of eighty. His Following that, we will sketch his impact on last journal publication had appeared topology. only six years earlier. KBorn in Hamamatsu, Japan, on February 11, Morita’s Contributions to Algebra 1915, Morita received his Ph.D. degree from the Unlike most of his prominent Japanese con- University of Osaka in 1950 for a doctoral the- temporaries in mathematics, Morita had not sis in topology. His basic university education supplemented his education through an acade- had been focused on algebra—as a topologist, mic excursion abroad by the time he started Morita was largely self-taught. In 1939 he was publishing groundbreaking concepts and re- appointed assistant at the Tokyo University of sults. According to one of his Ph.D. students in Science and Literature, and after an interlude as algebra, H. Tachikawa, Morita was not connected lecturer/professor at Tokyo Higher Normal with the Nagoya research group, the most active School he was appointed professor at the former Japanese group in his field of algebraic spe- university in 1951, where he taught for twenty- cialty, homological algebra. As a result, signifi- seven years (a period during which the two in- cant developments in the field reached him only stitutions were combined and later relocated with considerable delay. -
Arxiv:Math/0108072V1 [Math.HO] 10 Aug 2001 Nune[A] Ewoe(9712)Tefis Aaeetrac Japanese first the (1917-1920) Wrote Topology
Notes to the early history of the Knot Theory in Japan. To be published in Annals of the Institute for Comparative Studies of Culture; Tokyo Woman’s Christian University, under the title: The interrelation of the Development of Mathematical Topology in Japan, Poland and USA. J´ozef H. Przytycki The goal of this essay is to give a preliminary description of the growth of research on Knot Theory in Japan and to look at its origins. In particular, the influences of R.H. Fox of Princeton is analyzed1. 1 Early history of Topology in Japan The University of Tokyo2 and the Tokyo Mathematical Society were founded in 1877, the tenth year of the Meiji era (1868-1912). During the period 1897-1942 six more Imperial Universities were founded: Kyoto 1897, Tˆohoku (Sendai) 19073, Hokkaido (Sapporo) 1930, Osaka 1931, Kyushu (Fukuoka) 1939, and Nagoya 1942. In addition, two other universities (called Higher Normal Schools4), later renamed Bunrika Daigaku, with departments of mathematics were founded in Tokyo and Hiroshima in 1929. Most likely Takeo Wada (1882-1944) published the first paper in Japan devoted to topology [Wad], 1911/1912. Wada graduated from Kyoto Univer- sity and became an assistant professor in 1908. He visited the USA, France and Germany from 1917 to 1920. KunizˆoYoneyama (1877-1968) did research in topology under Wada’s arXiv:math/0108072v1 [math.HO] 10 Aug 2001 influence [Wad]. He wrote (1917-1920) the first Japanese tract on General Topology. 1Ralph Hartzler Fox (1913-1973). We give his short biography in Section 7. 2In the period 1886-1947, Tokyo Imperial University. -
Absolute Neighborhood Retracts and Shape Theory
CHAPTER 9 Absolute Neighborhood Retracts and Shape Theory Sibe Mardesic Department of Mathematics, University of Zagreb, Bijenicka cesta 30, 10 000 Zagreb, Croatia E-mail: [email protected] Absolute neighborhood retracts (ANR's) and spaces having the homotopy type of ANR's, like polyhedra and CW-complexes, form the natural environment for homotopy theory. Homotopy-like properties of more general spaces (shape properties) are studied in shape theory. This is done by approximating arbitrary spaces by ANR's. More precisely, one replaces spaces by suitable systems of ANR's and one develops a homotopy theory of systems. This approach Hnks the theory of retracts to the theory of shape. It is, therefore, natural to consider the history of both of these areas of topology in one article. A further justification for this is the circumstance that both theories owe their fundamental ideas to one mathematician, Karol Borsuk. We found it convenient to organize the article in two sections, devoted to retracts and to shape, respectively. 1. Theory of retracts The problem of extending a continuous mapping f : A -> Y from a closed subset A of a space X to all of Z, or at least to some neighborhood 17 of A in Z, is very often en countered in topology. Karol Borsuk realized that the particular case, when Y — X and / is the inclusion /: A ^- X, deserves special attention. In this case, any extension of / is called a retraction {neighborhood retraction). If retractions exist, A is called a retract {neighborhood retract) of X. In his Ph.D. thesis "O retrakcjach i zbiorach zwi^zanych" ("On retractions and related sets"), defended in 1930 at the University of Warsaw, Borsuk introduced and studied these basic notions as well as the topologically invariant notion of absolute retract (abbreviated as AR).