Translator Disclaimer
March 2009 Creatures on ω1 and weak diamonds
Heike Mildenberger
J. Symbolic Logic 74(1): 1-16 (March 2009). DOI: 10.2178/jsl/1231082299

Abstract

We specialise Aronszajn trees by an ωω-boundingforcing that adds reals. We work withcreature forcingson uncountable spaces.

As an application of these notions of forcing, we answer a question of Moore, Hrušák and Džamonja whether♢(𝔟) implies the existence of a Souslin treein a negative way by showing that“♢(𝔡) and every Aronszajn tree is special” is consistentrelative to ZFC.

Citation

Download Citation

Heike Mildenberger. "Creatures on ω1 and weak diamonds." J. Symbolic Logic 74 (1) 1 - 16, March 2009. https://doi.org/10.2178/jsl/1231082299

Information

Published: March 2009
First available in Project Euclid: 4 January 2009

zbMATH: 1193.03075
MathSciNet: MR2499417
Digital Object Identifier: 10.2178/jsl/1231082299

Subjects:
Primary: 03E35, 03E55

Rights: Copyright © 2009 Association for Symbolic Logic

JOURNAL ARTICLE
16 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.74 • No. 1 • March 2009
Back to Top