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词条 James Dugundji
释义

  1. Selected publications

  2. References

{{Infobox scientist
| name = James Dugundji
| image =
| image_size =
| alt =
| caption =
| birth_date = {{birth date |1919|8|30|mf=y}}
| birth_place = New York City
| death_date = January, 1985
| death_place =
| nationality = American
| fields = Mathematics
| workplaces = University of Southern California
| alma_mater = Massachusetts Institute of Technology
New York University
| doctoral_advisor = Witold Hurewicz
| doctoral_students = Jacqueline Dewar
| known_for =
| awards =
}}James Dugundji (August 30, 1919 – January, 1985) was an American mathematician, a professor of mathematics at the University of Southern California.[1][2]

Dugundji's parents emigrated from Greece to New York City, where Dugundji was born in 1919. He studied at New York University, graduating with a B.A. in 1940, and went on to graduate school at the University of North Carolina at Chapel Hill, studying there under the supervision of Witold Hurewicz. After two years of study at UNC, Dugundji joined the United States Air Force for the duration of World War II, and then completed his doctorate from 1946 to 1948 at the Massachusetts Institute of Technology, to which his advisor had moved. He then took a faculty position at the University of Southern California, where he remained for the rest of his career. He was also a long-time member of the editorial boards of two mathematics journals, the Pacific Journal of Mathematics and Topology and its Applications.[1][2][3]

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]

Selected publications

  • {{cite journal|title=A topologized fundamental group|journal=Proc Natl Acad Sci U S A|year=1950|volume=36|issue=2|pages=141–143|pmc=1063149|doi=10.1073/pnas.36.2.141|pmid=16588960}}
  • with Ernest Michael: {{cite journal|title=On local and uniformly local topological properties|journal=Proc. Amer. Math. Soc.|year=1956|volume=7|issue=2|pages=304–307|mr=0077108|doi=10.1090/s0002-9939-1956-0077108-x}}
  • {{cite journal|title=Continuous maps into nonsimple spaces|journal=Trans. Amer. Math. Soc.|year=1957|volume=86|issue=1|pages=256–268|mr=0090050|doi=10.1090/s0002-9947-1957-0090050-9}}
  • {{cite journal|title=Products in homotopy and homology groups|journal=Proc Natl Acad Sci U S A|year=1957|volume=43|issue=11|pages=987–988|pmc=528569|doi=10.1073/pnas.43.11.987|pmid=16590127}}
  • {{cite journal|title=Cohomology of equivariant maps|journal=Trans. Amer. Math. Soc.|year=1958|volume=89|issue=2|pages=408–420|mr=0100837|doi=10.1090/s0002-9947-1958-0100837-2}}
  • with M. L. Curtis: {{cite journal|title=Groups which are cogroups|journal=Proc. Amer. Math. Soc.|year=1969|volume=22|issue=1|pages=235–237|mr=0251722|doi=10.1090/s0002-9939-1969-0251722-x}}
  • with F.-W. Bauer: {{cite journal|title=Categorical homotopy and fibrations|journal=Trans. Amer. Math. Soc.|year=1969|volume=140|pages=239–256|mr=0243518|doi=10.1090/s0002-9947-1969-0243518-4}}

References

1. ^{{citation | last = Mardešić | first = Sibe | editor-first = Ioan Mackenzie | editor-last = James | contribution = Absolute neighborhood retracts and shape theory | doi = 10.1016/B978-044482375-5/50010-9 | location = Amsterdam | mr = 1674915 | pages = 241–269 | publisher = North-Holland | title = History of Topology | year = 1999}}. See in particular [https://books.google.com/books?id=7iRijkz0rrUC&pg=PA244 p. 244] for a brief biography of Dugundji.
2. ^Note about the life and work of Dugundji by Andrzej Granas in their book Fixed Point Theory, Springer, 2005. Reprinted in {{harvtxt|Jachymski|Reich|2007}}, p. 9.
3. ^{{mathgenealogy|id=246}}
4. ^Review of Topology by M. Edelstein, {{MR|0193606}}.
5. ^Twelfth reprinting of Topology, Allyn and Bacon, 1978, {{ISBN|0-205-00271-4}}, {{MR|0478089}}.
6. ^Review of Fixed Point Theory, I, Państwowe Wydawnictwo Naukowe, 1982, by Christian Fenske, {{MR|0660439}}.
7. ^Review of Fixed Point Theory, Springer-Verlag, 2005, by A. G. Kartsatos, {{MR|1987179}}.
8. ^{{cite journal|author=Brown, Robert F.|title=Review: Fixed point theory, by Andrzej Granas and James Dugundji|journal=Bull. Amer. Math. Soc. (N.S.)|year=2004|volume=41|issue=2|pages=267–271|url=http://www.ams.org/journals/bull/2004-41-02/S0273-0979-04-01008-0/ | doi = 10.1090/S0273-0979-04-01008-0}}
9. ^{{citation | last = Dugundji | first = J. | journal = Pacific Journal of Mathematics | mr = 0044116 | pages = 353–367 | title = An extension of Tietze's theorem | volume = 1 | year = 1951 | doi=10.2140/pjm.1951.1.353}}.
10. ^{{citation | last1 = Dugundji | first1 = James | last2 = Ugi | first2 = Ivar | author2-link = Ivar Karl Ugi | contribution = An algebraic model of constitutional chemistry as a basis for chemical computer programs | doi = 10.1007/BFb0051317 | pages = 19–64 | publisher = Springer-Verlag | series = Topics in Current Chemistry | title = Computers in Chemistry | volume = 39/1 | year = 1973}}.
11. ^{{citation | last1 = Jachymski | first1 = Jacek | last2 = Reich | first2 = Simeon | doi = 10.4064/bc77 | location = Warsaw | mr = 2341373 | publisher = Polish Academy of Sciences Institute of Mathematics | series = Banach Center Publications | title = 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 | volume = 77 | year = 2007}}.
{{Authority control}}{{DEFAULTSORT:Dugundji, James}}

10 : 1919 births|1985 deaths|20th-century American mathematicians|American people of Greek descent|Scientists from New York City|Topologists|New York University alumni|Massachusetts Institute of Technology alumni|University of Southern California faculty|Mathematicians from New York (state)

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