2 papers
math.LO2025
Cardinals of the -Filter Games
Tom Benhamou, Victoria Gitman
We investigate forms of filter extension properties in the two-cardinal setting involving filters on . We generalize the filter games introduced by Holy and Schlicht in \ci…
math.LO2024
Upward Löwenheim-Skolem-Tarski Numbers for Abstract Logics
Victoria Gitman, Jonathan Osinski
Galeotti, Khomskii and Väänäanen recently introduced the notion of the upward Löwenheim-Skolem-Tarski number for a logic, strengthening the classical notion of a Hanf number. A car…