Basis of Countryman lines
Speaker:
Yinhe Peng, University of Toronto
Date and Time:
Friday, July 13, 2018 - 1:30pm to 3:00pm
Location:
Fields Institute, Room 210
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 - $2^{omega_1}$.