منابع مشابه
Tight stationarity and tree-like scales
Let κ be a singular cardinal of countable cofinality, 〈κn : n < ω〉 a sequence of regular cardinals which is increasing and cofinal in κ. Using a scale, we define a mapping μ from ∏ n P(κn) to P(κ+) which relates tight stationarity on κ to the usual notion of stationarity on κ+. We produce a model where all subsets of κ+ are in the range of μ for some κ a singular. Using a version of the diagona...
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Answering a question raised by Luis Pereira, we show that a continuous tree-like scale can exist above a supercompact cardinal. We also show that the existence of a continuous tree-like scale at אω is consistent with Martin’s Maximum.
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We study the notion of tightly stationary sets which was introduced by Foreman and Magidor in [8]. We obtain two consistency results which show that it is possible for a sequence of regular cardinals hnin<! to have the property that for every sequence ~ S, of some fixed-cofinality stationary sets Sn ✓ n, ~ S is tightly stationary in a generic extension. The results are obtained using variatio...
متن کاملOn the Relationship between Mutual and Tight Stationarity
We construct a model where every increasing ω-sequence of regular cardinals carries a mutually stationary sequence which is not tightly stationary, and show that this property is preserved under a class of Prikry-type forcings. Along the way, we give examples in the Cohen and Prikry models of ω-sequences of regular cardinals for which there is a non-tightly stationary sequence of stationary sub...
متن کاملScales and Scale-like Structures
We present a method for generating scales and scale-like structures on a polygonal mesh through surface replacement. As input, we require a triangular mesh that will be covered with scales and one or more proxy-models to be used as the scale’s shape. A user begins scale generation by drawing a lateral line on the model to control the distribution and orientation of scales on the surface. We the...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2015
ISSN: 0168-0072
DOI: 10.1016/j.apal.2015.05.004