Paul Joseph Cohen의 정보
수상나이 32
출생년도 1934
사망년도
출생지 Long Branch(New Jersey)
현재소속 Stanford University
관련출판물 1.A Kanamori, The mathematical development of set theory from
시상내역 Cohen used technique called "forcing" to prove the independence in set theory of the axiom of choice and of the generalised continuum hypothesis. The continuum hypothesis problem was the first of Hilbert's famous 23 problems delivered to the Second International Congress of Mathematicians in Paris in 1900.
Other Award Bocher Memorial Prize(1964)
연구단행본 [1] Cohen, Paul J. Automorphisms of set theory. Proceedings of the Tarski Symposium (Proc. Sympos. Pure Math., Vol XXV, Univ. California, Berkeley, Calif., 1971), pp. 325--330. Amer. Math. Soc., Providence, R.I., 1974. 02K05 (02K20)
[2] {\cyr Koèn, Pol Dzh}.; Koèn, Pol D\v z. {\cyr Teoriya mnozhestv i kontinuum-gipoteza}. (Russian) [Set theory and the continuum hypothesis] Translated from the English and with two appendices, by A. S. Esenin-Vol\cprime pin. Library of the Journal "Matematika". Izdat. ``Mir'', Moscow, 1969. 347 pp. 02KXX
[3] Cohen, Paul J. Comments on the foundations of set theory. 1971 Axiomatic Set Theory (Proc. Sympos. Pure Math., Vol. XIII, Part I, Univ. California, Los Angeles, Calif., 1967) pp. 9--15 Amer. Math. Soc., Providence, R.I. 00.50 (02.00)
[4] Cohen, Paul J. Set theory and the continuum hypothesis. W. A. Benjamin, Inc., New York-Amsterdam 1966 vi+154 pp. 02.65
[5] Church, Alonzo Paul J. Cohen and the continuum problem. 1968 Proc. Internat. Congr. Math. (Moscow, 1966) pp. 15--20 Izdat. "Mir", Moscow 02.65
[6] Cohen, Paul J. Independence results in set theory. 1965 Theory of Models (Proc. 1963 Internat. Sympos. Berkeley) pp. 39--54 North-Holland, Amsterdam 02.65
[7] Cohen, Paul J. Idempotent measures and homomorphisms of group algebras. 1963 Proc. Internat. Congr. Mathematicians (Stockholm, 1962) pp. 331--336 Inst. Mittag-Leffler, Djursholm 46.80 (42.56)
연구논문
  • Cohen, Paul J.;Hersh, Reuben   Non-Cantorian set theory   Sci. Amer.   217   6   (1967)   104-116   02K10, 02K05
  • Ko?n, P. Dv z.   The foundations of set theory   Uspehi Mat. Nauk   29   5   (1974)   169-176   02A05, 20KXX
  • Cohen, Paul J.   A counterexample to the closed graph theorem for bilinear maps   J. Functional Analysis   16     (1974)   235-240   46J99
  • Koen, Pol Dv z.;Herv s, Roui bcdprime n   Non Cantorian set theory   Fiz.-Mat. Spis. Bcdprime lgar. Akad. Nauk.   12     (1969)   299-316   02.60
  • Cohen, Paul J.   Decision procedures for real and $p$-adic fields   Comm. Pure Appl. Math.   22     (1969)   131-151   02.54
  • Cohen, P. J.   A simple proof of the Denjoy-Carleman theorem   Amer. Math. Monthly   75     (1968)   26-31   26.80
  • Cohen, Paul J.   The independence of the continuum hypothesis. II   Proc. Nat. Acad. Sci. U.S.A.   51     (1964)   105-110   02.65
  • Cohen, Paul   The independence of the continuum hypothesis   Proc. Nat. Acad. Sci. U.S.A.   50     (1963)   1143-1148   02.65
  • Cohen, Paul J.   Homomorphisms and idempotents of group algebras   Bull. Amer. Math. Soc.   65     (1959)   120-122   42.56
  • Cohen, Paul J.   A minimal model for set theory   Bull. Amer. Math. Soc.   69     (1963)   537-540   02.63
  • Cohen, Paul J.;Lees, Milton   Asymptotic decay of solutions of differential inequalities   Pacific J. Math.   11     (1961)   1235-1249   35.16, 34.95
  • Cohen, Paul J.   On homomorphisms of group algebras   Amer. J. Math.   82     (1960)   213-226   42.56
  • Cohen, Paul J.   On a conjecture of Littlewood and idempotent measures   Amer. J. Math.   82     (1960)   191-212   42.50
  • Cohen, Paul J.   A note on constructive methods in Banach algebras   Proc. Amer. Math. Soc.   12     (1961)   159-163   30.87
  • Cohen, Paul J.   Factorization in group algebras   Duke Math. J   26     (1959)   199-205   42.00
  • Cohen, Paul J.   On Green's theorem   Proc. Amer. Math. Soc.   10     (1959)   109-112   53.00