Series: Penn State Logic Seminar

Date: Tuesday, September 23, 2003

Time: 2:30 - 3:45 PM

Place: 113 McAllister Building

Speaker: Natasha Dobrinen, Penn State, Mathematics

Title: Introduction to Boolean Algebras, Ultrafilters, and
Ultraproducts

Abstract:

We will introduce Boolean algebras, the usual partial ordering on a
Boolean algebra, and infinitary Boolean operations.  We then will cover
the basics of filters, ultrafilters, ultraproducts, ending with some
relevant basic facts which will be background for a later Logic Seminar
lecture by Christopher Griffin.  This material can be found in
Koppelberg's "Handbook of Boolean Algebra", or Jech's "Set Theory"
book.