19 citations · 68 across the 29 of their papers we have counts for
3 papers · 1 filter
Forcing over choiceless models and generic absoluteness
Daisuke Ikegami, Philipp Schlicht
We develop a toolbox for forcing over arbitrary models of set theory without the axiom of choice. In particular, we introduce a variant of the countable chain condition and prove a…
Countable ranks at the first and second projective levels
Merlin Carl, Philipp Schlicht, Philip Welch
A rank is a notion in descriptive set theory that describes ranks such as the Cantor-Bendixson rank on the set of closed subsets of a Polish space, differentiability ranks on the s…
Asymmetric cut and choose games
Peter Holy, Philipp Schlicht, Christopher Turner +1
We investigate a variety of cut and choose games, their relationship with (generic) large cardinals, and show that they can be used to characterize a number of properties of ideals…