Abstract
Abstract
(1)
We show that it is possible to add
$\kappa ^+$
-Cohen subsets to
$\kappa $
with a Prikry forcing over
$\kappa $
. This answers a question from [9].
(2)
A strengthening of non-Galvin property is introduced. It is shown to be consistent using a single measurable cardinal which improves a previous result by S. Garti, S. Shelah, and the first author [5].
(3)
A situation with Extender-based Prikry forcings is examined. This relates to a question of H. Woodin.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. Non-Galvin filters;Journal of Mathematical Logic;2024-03-22