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
|
| Keywords | No keywords specified (fix it) |
| Categories | (categorize this paper) |
| DOI | 10.2307/2273449 |
| Options |
Mark as duplicate
Export citation
Request removal from index
|
Download options
PhilArchive copy
Upload a copy of this paper Check publisher's policy Papers currently archived: 70,130
External links
- From the Publisher via CrossRef (no proxy)
- projecteuclid.org
(no proxy) - projecteuclid.org [2] (no proxy)
- journals.cambridge.org (no proxy)
- jstor.org (no proxy)
- jstor.org [2] (no proxy)
- jstor.org [3] (no proxy)
- cambridge.org (no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
- Sign in / register and customize your OpenURL resolver..
- Configure custom resolver
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
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.
A Model with No Magic Set.Krzysztof Ciesielski & Saharon Shelah - 1999 - Journal of Symbolic Logic 64 (4):1467-1490.
Similar books and articles
A Covering Lemma for HOD of K (ℝ).Daniel W. Cunningham - 2010 - Notre Dame Journal of Formal Logic 51 (4):427-442.
The Model of Set Theory Generated by Countably Many Generic Reals.Andreas Blass - 1981 - Journal of Symbolic Logic 46 (4):732-752.
The Perfect Set Theorem and Definable Wellorderings of the Continuum.Alexander S. Kechris - 1978 - Journal of Symbolic Logic 43 (4):630-634.
Universally Baire Sets and Definable Well-Orderings of the Reals.Sy D. Friedman & Ralf Schindler - 2003 - Journal of Symbolic Logic 68 (4):1065-1081.
Cohen Reals From Small Forcings.Janusz Pawlikowski - 2001 - Journal of Symbolic Logic 66 (1):318-324.
Subclasses of the Weakly Random Reals.Johanna N. Y. Franklin - 2010 - Notre Dame Journal of Formal Logic 51 (4):417-426.
On Non-Wellfounded Iterations of the Perfect Set Forcing.Vladimir Kanovei - 1999 - Journal of Symbolic Logic 64 (2):551-574.
Relative Randomness and Real Closed Fields.Alexander Raichev - 2005 - Journal of Symbolic Logic 70 (1):319 - 330.
On the Constructive Dedekind Reals.Robert S. Lubarsky & Michael Rathjen - 2008 - Logic and Analysis 1 (2):131-152.
Analytics
Added to PP index
2009-01-28
Total views
172 ( #68,205 of 2,506,503 )
Recent downloads (6 months)
1 ( #416,791 of 2,506,503 )
2009-01-28
Total views
172 ( #68,205 of 2,506,503 )
Recent downloads (6 months)
1 ( #416,791 of 2,506,503 )
How can I increase my downloads?
Downloads
