MLQ
2011
12 years 7 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
12 years 11 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 4 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 4 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...