On Efimov spaces and Radon measures

Dzamonja, Mirna and Plebanek, Grzegorz (2007) On Efimov spaces and Radon measures. Topology and its Applications, 154 (10). pp. 2063-2072. ISSN 1879-3207

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Abstract

We give a construction under CH of an infinite Hausdorff compact space having no converging sequences and carrying no Radon measure of uncountable type. Under ? we obtain another example of a compact space with no convergent sequences, which in addition has the stronger property that every nonatomic Radon measure on it is uniformly regular. This example refutes a conjecture of Mercourakis from 1996 stating that if every measure on a compact space K is uniformly regular then K is necessarily sequentially compact.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Logic
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 10:19
Last Modified:	15 Dec 2022 17:31
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19961
DOI:	10.1016/j.topol.2006.04.029

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