Baire measure

Baire measure

A Baire measure is a measure on the σ-algebra of Baire sets of a topological space. In spaces that are not metric spaces, the Borel sets and the Baire sets may differ. In this context, Baire measures are used because they connect to the properties of continuous functions more directly.

References

* Leonard Gillman and Meyer Jerison, "Rings of Continuous Functions", Springer Verlag #43, 1960


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