Math 2.0

Measure and integration Measures on topological spaces Concept

Support of a measure

Summary

The support of a measure on a topological space is the set of points all of whose open neighbourhoods have positive measure. It is a closed set, and it tells where the measure really lives. For a Radon measure the complement of the support has measure zero.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Support_(measure_theory)
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Changed2 November 2026

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