3 papers
math.LO2021
Approachable Free Subsets and Fine Structure Derived Scales
Dominik Adolf, Omer Ben-Neria
Shelah showed that the existence of free subsets over internally approachable subalgebras follows from the failure of the PCF conjecture on intervals of regular cardinals. We show…
math.LO2020
Some basic thoughts on the cofiality of Chang structures with an application to forcing
Dominik Adolf
Consider where is an uncountable regular cardinal. By a result of Shelah's we have for alm…
math.LO2019
Lower consistency bounds for mutual stationarity with divergent cofinalities and limited covering
Dominik Adolf
We improve previous work on the consistency strength of mutually stationary sequences of sets concentrating on points with divergent cofinality building on previous work by Adolf,…