On a question of Sierpiński

• Autorzy: Theodore A. Slaman
• Języki publikacji: EN

Abstrakty

EN

There is a set U of reals such that for every analytic set A there is a continuous function f which maps U bijectively to A.

Słowa kluczowe

EN

Borel set; analytic set

Kategorie tematyczne

• 03E50: Continuum hypothesis and Martin's axiom

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 159
• Numer: 2
• Strony: 153-159

Daty

wydano

1999

otrzymano

1998-04-20

Twórcy

autor

Theodore A. Slaman

• Department of Mathematics, University of California Berkeley, Berkeley, California 94720-3840, U.S.A.

Bibliografia

• [1] K. Gödel, The consistency of the axiom of choice and of the generalized continuum hypothesis, Proc. Nat. Acad. Sci. U.S.A. 24 (1938), 556-557.
• [2] A. S. Kechris, Classical Descriptive Set Theory, Grad. Texts in Math. 156, Springer, 1995.
• [3] N. N. Luzin, Leçons sur les ensembles analytiques, Gauthier-Villars, Paris, 1930.
• [4] Y. N. Moschovakis, Descriptive Set Theory, Stud. Logic Found. Math. 100, North-Holland, Amsterdam, 1980.
• [5] W. Sierpiński, Problem 70, Fund. Math. 26 (1936), 334.