On a question of Sierpiński

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

Theodore Slaman Fundamenta Mathematicae 159 (1999), 153-159 DOI: 10.4064/fm-159-2-153-159

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.