The relation between CDw (X)‐space and Whyburn unified space

We show that a CDw (X)-space is isometrically Riesz isomorphic to C (W) for some Whyburn unified space W with its concrete description. We apply this to prove a Banach–Stone type theorem. This generalizes one of the main result in [2]. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)