Dedekind cuts in $C(X)$
Volume 95 / 2011
Banach Center Publications 95 (2011), 287-297
MSC: Primary 54C60, 26E25; Secondary 06B23.
DOI: 10.4064/bc95-0-16
Abstract
The aim of this paper is to show that every Hausdorff continuous interval-valued function on a completely regular topological space $X$ corresponds to a Dedekind cut in $C(X)$ and conversely.
