Journal of Symbolic Logic 48 (3):575-584 (1983)
| Abstract |
In this paper we show that it is consistent with ZFC that for any set of reals of cardinality the continuum, there is a continuous map from that set onto the closed unit interval. In fact, this holds in the iterated perfect set model. We also show that in this model every set of reals which is always of first category has cardinality less than or equal to ω 1
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| DOI | 10.2307/2273449 |
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References found in this work BETA
Iterated Perfect-Set Forcing.James E. Baumgartner & Richard Laver - 1979 - Annals of Mathematical Logic 17 (3):271-288.
Citations of this work BETA
A Model with No Magic Set.Krzysztof Ciesielski & Saharon Shelah - 1999 - Journal of Symbolic Logic 64 (4):1467-1490.
Sierpiński-Zygmund Functions That Are Darboux, Almost Continuous, or Have a Perfect Road.Marek Balcerzak, Krzysztof Ciesielski & Tomasz Natkaniec - 1997 - Archive for Mathematical Logic 37 (1):29-35.
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