MLQ
2011
13 years 1 months ago
2011
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...
JSYML
2010
13 years 5 months ago
2010
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...
APAL
2006
13 years 11 months ago
2006
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, ...
APAL
2007
13 years 11 months ago
2007
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...