3 papers
math.LO2021
Some combinatorial properties of splitting trees
Jonathan Schilhan
We show that splitting forcing does not have the weak Sacks property below any condition, answering a question of Laguzzi, Mildenberger and Stuber-Rousselle. We also show how some…
math.LO2019
Towers and gaps at uncountable cardinals
Vera Fischer, Diana Carolina Montoya, Jonathan Schilhan +1
Our goal is to study the pseudo-intersection and tower numbers on uncountable regular cardinals, whether these two cardinal characteristics are necessarily equal, and related probl…
math.LO2018
Definable Towers
V. Fischer, J. Schilhan
We study the definability of maximal towers and of inextendible linearly ordered towers (ilt's), a notion that is more general than that of a maximal tower. We show that there is,…