8 citations · 20 across the 15 of their papers we have counts for
5 papers · 1 filter
Applying Generic Coding with Help to Uniformizations
Dan Hathaway
This is a follow up to a paper by the author where the disjointness relation for (the graphs of) definable functions from to is analyzed. In that paper, for each $a…
Ramsey Theory on Generalized Baire Space
Dan Hathaway
We show that although the Galvin-Prikry Theorem does not hold on generalized Baire space with the standard topology, there are similar theorems which do hold on generalized Baire s…
Sacks Forcing and the Shrink Wrapping Property
Osvaldo Guzmán González, Dan Hathaway
We consider a property stronger than the Sacks property, called the shrink wrapping property, which holds between the ground model and each Sacks forcing extension. Unlike the Sack…
Perfect Tree Forcings for Singular Cardinals
Natasha Dobrinen, Dan Hathaway, Karel Prikry
We investigate forcing properties of perfect tree forcings defined by Prikry to answer a question of Solovay in the late 1960's regarding first failures of distributivity. Given a…
Forcing and the Halpern-Läuchli Theorem
Natasha Dobrinen, Dan Hathaway
We investigate the effects of various forcings on several forms of the Halpern-Läuchli Theorem. For inaccessible , we show they are preserved by forcings of size less than .…