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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