Approximating Radon measures on first-countable compact spaces
Volume 86 / 2000
Colloquium Mathematicum 86 (2000), 15-23
DOI: 10.4064/cm-86-1-15-23
Abstract
The assertion every Radon measure defined on a first-countable compact space is uniformly regular is shown to be relatively consistent. We prove an analogous result on the existence of uniformly distributed sequences in compact spaces of small character. We also present two related examples constructed under CH.
