School Seminars and Colloquia

If x a Cohen real over V, then there exists a Suslin Tree in V[x]

School Seminar

by Zach McKenzie


Institution: The University of Melbourne
Date: Fri 22nd August 2008
Time: 4:30 PM
Location: Room 107, Richard Berry Bldg, The University of Melbourne

Abstract: A famous question posed by Suslin in 1920 asks whether or not there
exists a dense, unbounded linearly ordered set possessing the countable chain
condition that is not isomorphic to the real line. In this talk we will present
a theorem due to Shelah showing that the generic extension obtained by
adding one Cohen real contains a Suslin tree. We will follow an alternative
proof of this result due to Stevo Todorˇcevi`c.

For More Information: Greg Hjorth greg.hjorth@gmail.com