שלחו לחבר

An Aronszajn line with no countryman suborders

Seminar
Speaker
Roy Shalev (BIU)
Date
23/06/2022 - 16:00 - 14:00Add to Calendar 2022-06-23 14:00:00 2022-06-23 16:00:00 An Aronszajn line with no countryman suborders Moore proved it is consistent assuming the existence of a supercompact cardinal that the class of uncountable linear orders has a five element basis. The elements are X, w1, the dual of w1, C, and the dual of C, where X is any suborder of the reals of size w1, and C is any Countryman line. This raises the question of the existence of an Aronszajn line with no countryman suborder, we will present such a construction by Moore from the combinatorial principle Mho. Seminar room אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Seminar room
Abstract

Moore proved it is consistent assuming the existence of a supercompact cardinal that the class of uncountable linear orders has a five element basis.
The elements are X, w1, the dual of w1, C, and the dual of C, where X is any suborder of the reals of size w1, and C is any Countryman line.
This raises the question of the existence of an Aronszajn line with no countryman suborder, we will present such a construction by Moore from the combinatorial principle Mho.

תאריך עדכון אחרון : 22/06/2022