On the structure of Δ 1 4 -sets of reals
Archive for Mathematical Logic 34 (5):301-312 (1995)
| Abstract |
Assuming that an inaccessible cardinal exists, we construct a ZFC-model where every Δ 1 4 -set is measurable but there exists a Δ 1 4 -set without the property of Baire. By a result of Shelah, an inaccessible cardinal is necessary for this result
|
| Keywords | No keywords specified (fix it) |
| Categories | (categorize this paper) |
| DOI | 10.1007/BF01387510 |
| Options |
Edit this record
Mark as duplicate
Export citation
Request removal from index
|
Download options
References found in this work BETA
Internal Cohen Extensions.D. A. Martin & R. M. Solovay - 1970 - Annals of Mathematical Logic 2 (2):143-178.
Δ12-Sets of Reals.Jaime I. Ihoda & Saharon Shelah - 1989 - Annals of Pure and Applied Logic 42 (3):207-223.
A Very Absolute Pi-1-2 Real Singleton.René David - 1982 - Annals of Mathematical Logic 23 (2-3):101-120.
View all 10 references / Add more references
Citations of this work BETA
No citations found.
Similar books and articles
Exact Equiconsistency Results for Δ 3 1 -Sets of Reals.Haim Judah - 1992 - Archive for Mathematical Logic 32 (2):101-112.
$Triangle^1_3$-Sets of Reals.Haim Judah & Saharon Shelah - 1993 - Journal of Symbolic Logic 58 (1):72-80.
Martin's Axioms, Measurability and Equiconsistency Results.Jaime I. Ihoda & Saharon Shelah - 1989 - Journal of Symbolic Logic 54 (1):78-94.
On the Structure of $\Vec{\Delta_4^1}$ -Sets of Reals.Haim Judah & Otmar Spinas - 1995 - Archive for Mathematical Logic 34 (5):301-312.
Mathias Absoluteness and the Ramsey Property.Lorenz Halbeisen & Haim Judah - 1996 - Journal of Symbolic Logic 61 (1):177-194.
Large Cardinals and Projective Sets.Haim Judah & Otmar Spinas - 1997 - Archive for Mathematical Logic 36 (2):137-155.
Extending Baire Property by Uncountably Many Sets.Paweł Kawa & Janusz Pawlikowski - 2010 - Journal of Symbolic Logic 75 (3):896-904.
Strongly Dominating Sets of Reals.Michal Dečo & Miroslav Repický - 2013 - Archive for Mathematical Logic 52 (7-8):827-846.
Martin's Axiom and $\Delta^2_1$ Well-Ordering of the Reals.Uri Abraham & Saharon Shelah - 1996 - Archive for Mathematical Logic 35 (5-6):287-298.
On Ideals of Subsets of the Plane and on Cohen Reals.Jacek Cichoń & Janusz Pawlikowski - 1986 - Journal of Symbolic Logic 51 (3):560-569.
From a Well-Ordering of the Reals It is Easy (by a Diagonal Argument) to Produce a Non-Determined Set of Reals. However, Large Cardinal Axioms Imply That All Sets of Reals in L (R), and More, Are Determined. See, for Example, Neeman's Papers Optimalproofs of Determinacy.Andrzej S. Murawski - 1995 - Bulletin of Symbolic Logic 1:327-339.
A Minimal Counterexample to Universal Baireness.Kai Hauser - 1999 - Journal of Symbolic Logic 64 (4):1601-1627.
Cohen Reals From Small Forcings.Janusz Pawlikowski - 2001 - Journal of Symbolic Logic 66 (1):318-324.
Analytics
Added to PP index
2013-11-23
Total views
8 ( #804,312 of 2,253,840 )
Recent downloads (6 months)
2 ( #782,717 of 2,253,840 )
2013-11-23
Total views
8 ( #804,312 of 2,253,840 )
Recent downloads (6 months)
2 ( #782,717 of 2,253,840 )
How can I increase my downloads?
Downloads
