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Zbl 1113.28011
Fremlin, David
Radon measures. (English)
[J] Acta Univ. Carol., Math. Phys. 45, No. 2, 23-34 (2004). ISSN 0001-7140

This is a compactly written technical outline of several specialized results on Radon measures whose details will be given in the author's treatise on ``measure theory" in (at least) five volumes; the last one is to appear soon. A Radon measure on a Hausdorff topological space $X$ is a totally finite measure for which all Borel sets are measurable, it is inner regular for compact sets, and complete. The problem is to describe all possible Radon measures on $X$ in terms of the topological properties of $X$. In the author's own words, ``I discuss some relationships between topological properties of a Hausdorff space and properties of the Radon measures it carries, concentrating on ideas involving cardinal functions." For details, readers are referred to the multi volume monograph of the author referred to above to see the rich harvest of results established so far.
[Malempati M. Rao (Riverside)]

MSC 2000:: *28C05 Integration theory via linear functionals

Keywords: Radon measures on Hausdorff spaces; Maharam types; Haydon's property

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