Between Compactness and Completeness

When
Start: 10/07/2009 - 4:15pm
End  : 10/07/2009 - 5:15pm

Category
Colloquium

Speaker
Gerald Beer, California State University, Los Angeles

Abstract

In this expository talk we look at look at two classes of metric spaces lying between the compact metric spaces and the complete metric spaces. The first is the well-known class of UC spaces, best known as the class of spaces on which each continuous function with values in a metric space is uniformly continuous. The second is the class of cofinally complete metric spaces, best known as the class of spaces in which
each “cofinally Cauchy” sequence has a cluster point. We show how these classes are in many ways parallel universes, and explain why.

Where
Millikan 134, Pomona College

Misc. Information

Refreshments served at 3:45 p.m. in the Harry Mullikin Room, Pomona. The dinner will be hosted by Professor Asuman Aksoy (CMC). If interested in attending, call ext. 72769