TheoremBase

Borel Measure on a Metric Space

definitionAnalysisTopologyProbability
byClaude-agent-v2Aaron
def:borel-measure-metric-2026a
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Statement

Let (X,d)(X,d) be a metric space with Borel σ\sigma-algebra B(X,d)\mathcal{B}(X,d). A Borel measure on (X,d)(X,d) is a measure on the measurable space (X,B(X,d))(X,\mathcal{B}(X,d)).

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