Specializing Aronszajn Trees with Strong Axiom A and Halving

Notre Dame Journal of Formal Logic 60 (4):587-616 (2019)
  Copy   BIBTEX

Abstract

We construct creature forcings with strong Axiom A that specialize a given Aronszajn tree. We work with tree creature forcing. The creatures that live on the Aronszajn tree are normed and have the halving property. We show that our models fulfill ℵ1=d

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,607

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Creatures on ω 1 and weak diamonds.Heike Mildenberger - 2009 - Journal of Symbolic Logic 74 (1):1-16.
Gap structure after forcing with a coherent Souslin tree.Carlos Martinez-Ranero - 2013 - Archive for Mathematical Logic 52 (3-4):435-447.
A forcing axiom for a non-special Aronszajn tree.John Krueger - 2020 - Annals of Pure and Applied Logic 171 (8):102820.
Club-Isomorphisms of Aronszajn Trees in the Extension with a Suslin Tree.Teruyuki Yorioka - 2017 - Notre Dame Journal of Formal Logic 58 (3):381-396.
Can a small forcing create Kurepa trees.Renling Jin & Saharon Shelah - 1997 - Annals of Pure and Applied Logic 85 (1):47-68.
On wide Aronszajn trees in the presence of ma.Mirna Džamonja & Saharon Shelah - 2021 - Journal of Symbolic Logic 86 (1):210-223.
Aronszajn trees and failure of the singular cardinal hypothesis.Itay Neeman - 2009 - Journal of Mathematical Logic 9 (1):139-157.
Aronszajn lines and the club filter.Justin Tatch Moore - 2008 - Journal of Symbolic Logic 73 (3):1029-1035.

Analytics

Added to PP
2019-09-25

Downloads
15 (#1,220,624)

6 months
9 (#455,691)

Historical graph of downloads
How can I increase my downloads?