| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661662 | Annals of Pure and Applied Logic | 2015 | 13 Pages |
Abstract
In this paper we continue work from a previous paper on the fragility and indestructibility of the tree property. We present the following:(1)A preservation lemma implicit in Mitchell's PhD thesis, which generalizes all previous versions of Hamkins' Key lemma.(2)A new proof of the ‘superdestructibility’ theorems of Hamkins and Shelah.(3)An answer to a question from our previous paper on the apparent consistency strength of the assertion “The tree property at ℵ2ℵ2 is indestructible under ℵ2ℵ2-directed closed forcing”.(4)Two models for successive failures of weak square on long intervals of cardinals.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Spencer Unger,