# On a question of Sierpiński

Fundamenta Mathematicae (1999)

- Volume: 159, Issue: 2, page 153-159
- ISSN: 0016-2736

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topSlaman, Theodore. "On a question of Sierpiński." Fundamenta Mathematicae 159.2 (1999): 153-159. <http://eudml.org/doc/212326>.

@article{Slaman1999,

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.},

author = {Slaman, Theodore},

journal = {Fundamenta Mathematicae},

keywords = {Borel set; analytic set},

language = {eng},

number = {2},

pages = {153-159},

title = {On a question of Sierpiński},

url = {http://eudml.org/doc/212326},

volume = {159},

year = {1999},

}

TY - JOUR

AU - Slaman, Theodore

TI - On a question of Sierpiński

JO - Fundamenta Mathematicae

PY - 1999

VL - 159

IS - 2

SP - 153

EP - 159

AB - 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.

LA - eng

KW - Borel set; analytic set

UR - http://eudml.org/doc/212326

ER -

## References

top- [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. Zbl0020.29701
- [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.

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