Classifier Instance:

Anchor text: sigma algebra
Target Entity: Sigma\u002dalgebra
Preceding Context: We will first show that f is Σ–measurable. To do this, it is sufficient to show that the inverse image of an interval [0, t] under f is an element of the
Succeeding Context: Σ on X, because (closed) intervals generate the Borel sigma algebra on the reals. Let I = [0, t] be such a subinterval of [0, ∞]. Let
Paragraph Title: Proof
Source Page: Monotone convergence theorem

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