Download PDF - On a question of SierpińskiAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

On a question of Sierpiński

Authors 1

Affiliations

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

Abstract

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.

Keywords

ENG
Borel set, analytic set

Bibliography

  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.
Fundamenta Mathematicae
1999/159/2
Export to PBN, Opens in new tab
Pages:
153-159
Main language of publication
English
Received
1998-04-20
Published
1999
Exact and natural sciences