Products of perfectly meager sets and Lusin’s function
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- by Janusz Pawlikowski PDF
- Proc. Amer. Math. Soc. 107 (1989), 811-815 Request permission
Abstract:
In [R] Recław solved an old problem of Marczewski by constructing two perfectly meager sets with a non-perfectly meager cartesian product. We show another method for getting such sets.References
- K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751 N. Lusin, Sur les ensembles toujours de première catégorie, Fund. Math. 21 (1933), 114-126. E. Marczewski (Szpilrajn), Problem 68, Fund. Math. 24 (1935), 579.
- Arnold W. Miller, Special subsets of the real line, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 201–233. MR 776624 I. Recław, Products of perfectly meager sets, preprint, 1987. W. Sierpiński, Hypothèse du continu, Chelsea, 1956.
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 811-815
- MSC: Primary 54H05; Secondary 04A15
- DOI: https://doi.org/10.1090/S0002-9939-1989-0984810-3
- MathSciNet review: 984810