3 papers
math.LO2018
The super tree property at the successor of a singular
Sherwood Hachtman, Dima Sinapova
For an inaccessible cardinal , the super tree property (ITP) at holds if and only if is supercomact. However, just like the tree property, it can hold at successor cardi…
math.LO2017
Scattered Sentences have Few Separable Randomizations
Uri Andrews, Isaac Goldbring, Sherwood Hachtman +2
In the paper "Randomizations of Scattered Sentences", Keisler showed that if Martin's axiom for aleph one holds, then every scattered sentence has few separable randomizations, and…
math.LO2016
Determinacy separations for class games
Sherwood Hachtman
We show, assuming weak large cardinals, that in the context of games played in a proper class of moves, clopen determinacy is strictly weaker than open determinacy. The proof amoun…