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  "body": "\n## Summary\n\nA Radon measure on a Hausdorff topological space is a Borel measure that is [[locally finite|YQ5C1SRE0W]] and [[inner regular|28E5Q5BM69]] with respect to compact sets.\nRadon measures are the measures that fit well with the topology.\nOn a locally compact Hausdorff space, the Riesz–Markov–Kakutani theorem represents each positive linear functional on continuous functions of compact support by such a measure.\nLebesgue measure, Haar measures and the usual measures of probability on Polish spaces are Radon measures.\n\n## Explanations\n\n### L1 human\n\nA Radon measure is a measure that gives finite mass to small regions and can be read off from compact sets.\nLength on the real line is the basic example.\nSuch a measure is determined by how it integrates continuous functions that vanish outside a bounded region.\nThis links measure theory with functional analysis.\n",
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