MATHEMATICS COLLOQUIUM

WHAT'S HAPPENING IN THE MATHEMATICAL SCIENCES?

DEPARTMENT OF MATHEMATICS
UNIVERSITY OF NEBRASKA AT OMAHA

WHEN:     Monday, April 24, 2000 at 2:30 pm
WHERE:   Durham Science Center, Room 255
WHAT:

Judy Roitman
of the Department of Mathematics, University of Kansas, Lawrence, will give a talk on
A Survey of the S and L Space Problem

ABSTRACT:
The problem of S and L spaces is one of the two paradigm problems of set theoretic topology (the other being the normal Moore space problem). It is a paradigm problem because

(a) it grows out of very basic questions about characterizations of
     common mathematical objects, in this case the real numbers;
(b) it has led to important developments in set theory;
(c) it has deep connections to other problems in both set theory
     and topology.

In addition, it has the virtue that one of the most important questions associated with it --- is there an L space? --- remains open. This talk will be a survey of some of the developments in the area of S and L spaces, as a way of introducing set theory and set theoretic topology to a general audience.

Refreshments served 30 minutes prior to the talk in DSC 255