Journal of Function Spaces (Jan 2018)
A Characterization of the Existence of a Fundamental Bounded Resolution for the Space Cc(X) in Terms of X
Abstract
We characterize in terms of the topology of a Tychonoff space X the existence of a bounded resolution for CcX that swallows the bounded sets, where CcX is the space of real-valued continuous functions on X equipped with the compact-open topology.