On Nearly Realcompact Spaces
by
John Schommer
University of Tennessee at Martin

There are three different approaches to the study of nearly realcompact spaces in the literature. Johnson and Mandelker have referred to them as \eta-compact spaces, characterizing them in terms of ideals of continuous functions. Blair and van Douwen produced quite a few results by characterizing nearly realcompact spaces in terms of their relatively pseudocompact cozero-sets. In this talk we continue a development of nearly realcompact spaces that parallels Henriksen and Rayburn's approach to nearly pseudcompact spaces. We will focus in particular on mapping theorems.

Date received: February 19, 2002