Polish set theorists and large cardinals

• Autorzy: Stillwell J.
• Konferencja: 6th European Congress of Mathematics, 2-7 July 2012 Kraków
• Języki publikacji: EN

Słowa kluczowe

EN

set theory; large cardinals; Polish mathematicians

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Wiadomości Matematyczne
• Rocznik: 2012
• Tom: T. 48, Nr 2
• Strony: 247--256
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Stillwell J.

• University of San Francisco 2130 Fulton Street 94117-1080 San Francisco, CA USA

Bibliografia

• [1] S. Banach, Über die additive Massfunktionen in abstraktetl Mengen, Fund. Math. 15 (1930), 97-101.
• [2] E. Borel, Lecons sur la théorie des fonctions, Gauthier-Villars, Paris 1898.
• [3] P. Cohen, The independence of the continuum hypothesis, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 1143-1148.
• [4] M. Davis, Infinite games of perfect information, Advances in Game Theory, Princeton Univ. Press, Princeton NJ 1964.
• [5] K. Gödel, Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme. I, Monatshefte für MathematikundPhysik 38 (1931), 173-198.
• [6] K. Gödel, The consistency of the axiom of choice and the generalized continuum hypothesis, Proc. Nat. Acad. Sci. U.S.A. 24 (1938), 556-557.
• [7] K. Kuratowski, Sur l’état actuel de l’axiomatique de la théorie des ensembles, Annales de la Societe Polonaise de Mathematique 3 (1924), 146-149.
• [8] H. Lebesgue, Sur les fonctions représentables analytiquement, Journal de Mathématiques Pures et Appliquees 6 (1905), no. 1, 139-216.
• [9] N. N. Luzin, Sur les ensembles projectifs de M. Henri Lebesgue, Comptes Rendus de 1’Academie des Sciences, Paris 180 (1925), 1572-1574.
• [10] D. A. Martin, Measurable cardinals and analytic games, Fund. Math. 66 (1969/1970), 287-291.
• [11] D. A. Martin, J. R. Steel, A proof of projective determinacy, Journal of the American Mathematical Society 2 (1989), 71-125.
• [12] R. D. Mauldin (ed.), The Scottish Book. Mathematics from the Scottish Cafe, Birkhäuser, Boston, MA 1981. Including selected papers presented at the Scottish Book Conference held at North Texas State University, Denton, Tex., May 1979
• [13] J. Mycielski, On the axiom of determinateness, Fund. Math. 53 (1063/1964)1 205-224.
• [14] J. Mycielski, H. Steinhaus, A mathematical axiom contradicting the axiom of choice, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 10 (1962), 1-3.
• [15] J. Mycielski, S. Świerczkowski, On the Lebesgue measurability and the axiom of determinateness, Fund. Math. 54 (1964), 67-71.
• [16] D. Scott, Measurable cardinals and constructible sets, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 9 (1961), 521-524.
• [17] R. M. Solovay, A model of set-theory in which every set of reals is Lebesgue measurable, Ann. of Math. (2) 92 (1970), 1-56.
• [18] S. Ulam, Zur Masstheorie in der allgemeinen Mengenlehre, Fund. Math. 16 (1930), 140-150.
• [19] G. Vitali, Sul problema delia misura dei gruppi di punti di una retta, Tip. Gamberini e Parmeggiani, Bologna 1905.