# Talk:Radon measure

From Encyclopedia of Mathematics

Texxed, add references and links, categorized, add mathscinet and Zentralblatt numbers. Made a few cosmetic changes here and there. Camillo 15:15, 21 July 2012 (CEST)

- I made a restyling of the page but also changed some things. In particular, the original paper had the following definition "A Radon measure is a finite measure $\mu$ on the Borel $\sigma$-algebra of $X$ with the property that for any $\varepsilon$ there is a compact set $K$ such that $\mu (X\setminus K)<\varepsilon$." and gave the tightness as a corollary. I could not find this approach in any book and I am indeed suspicious that the claim is really correct on a general Hausdorff space. I therefore prefer to take inner regularity as a definition, which seems what all authors do, though with some small variations. Camillo 19:04, 17 August 2012 (CEST)

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Radon measure.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Radon_measure&oldid=27627