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 2n. We will also list some conditions that imply the basis to have maximal size - 2omega1.