DELTA-1-3-STABILITY

Authors
BENARIE D JUDAH H
Citation
D. Benarie et H. Judah, DELTA-1-3-STABILITY, The Journal of symbolic logic, 58(3), 1993, pp. 941-954
Citations number
15
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
The Journal of symbolic logic → ACNP
ISSN journal
00224812
Volume
58
Issue
3
Year of publication
1993
Pages
941 - 954
Database
ISI
SICI code
0022-4812(1993)58:3<941:D>2.0.ZU;2-D
Abstract
We investigate the connection between DELTA1/3-stability for random an d Cohen forcing notions and the measurability and categoricity of the DELTA1/3-sets. We show that Shelah's model for DELTA1/3-measurability and categoricity satisfies DELTA1/3-random-stability while it does not satisfy DELTA1/3-Cohen-stability. This gives an example or measure-ca tegory asymmetry. We also present a result concerning finite support i terations of Suslin forcing.