Creatures on ω 1 and weak diamonds

We specialise Aronszajn trees by an ω ω -bounding forcing that adds reals. We work with creature forcings on uncountable spaces. As an application of these notions of forcing, we answer a question of Moore, Hrušák and Džamonja whether implies the existence of a Souslin tree in a negative way by show...

Full description

Saved in:
Bibliographic Details
Published in:The Journal of symbolic logic 2009-03, Vol.74 (1), p.1-16
Main Author: Mildenberger, Heike
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We specialise Aronszajn trees by an ω ω -bounding forcing that adds reals. We work with creature forcings on uncountable spaces. As an application of these notions of forcing, we answer a question of Moore, Hrušák and Džamonja whether implies the existence of a Souslin tree in a negative way by showing that “ and every Aronszajn tree is special” is consistent relative to ZFC.
ISSN:0022-4812
1943-5886
DOI:10.2178/jsl/1231082299