Yinhe Peng: Basis of Countryman lines

Place: Fields Institute (Room 210)
Date: July 13 , 2018 (13:30-15:00)
Title: Basis of Countryman lines
Abstract: U. Abraham and S. Shelah proved that it is consistent to have a 2 element basis for Countryman lines. J. T.  Moore proved that, under PFA, these 2 Countryman lines serve as a basis for Aronszajn lines. We will show that for any positive integer $n$, it is consistent that the basis of Countryman lines has size $2^n$. We will also list some conditions that imply the basis to have maximal size – $2^{\omega_1}$.

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