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MLQ
2011
9 years 2 months ago
Coding into HOD via normal measures with some applications
We develop a new method for coding sets while preserving gch in the presence of large cardinals, particularly supercompact cardinals. We will use the number of normal measures carr...
Arthur W. Apter, Shoshana Friedman
JSYML
2010
129views more  JSYML 2010»
9 years 6 months ago
On changing cofinality of partially ordered sets
It is shown that under GCH every poset preserves its cofinality in any cofinality preserving extension. On the other hand, starting with measurable cardinals, a model with a part...
Moti Gitik
APAL
2006
51views more  APAL 2006»
9 years 12 months ago
Models of real-valued measurability
Abstract. Solovay's random-real forcing ([1]) is the standard way of producing real-valued measurable cardinals. Following questions of Fremlin, by giving a new construction, ...
Sakaé Fuchino, Noam Greenberg, Saharon Shel...
APAL
2007
90views more  APAL 2007»
9 years 12 months ago
Guessing and non-guessing of canonical functions
It is possible to control to a large extent, via semiproper forcing, the parameters (β0, β1) measuring the guessing density of the members of any given antichain of stationary s...
David Asperó
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