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When do cylinder [sigma]-algebras equal Borel [sigma]-algebras in Polish spaces?

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  • Yan, Yi

Abstract

We give a sufficient and necessary condition to test whether a cylinder [sigma]-algebra equals the Borel [sigma]-algebra in a Polish space. We apply the result to several examples to illustrate the unified approach. A generalization to Borel spaces is also noted.

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  • Yan, Yi, 2008. "When do cylinder [sigma]-algebras equal Borel [sigma]-algebras in Polish spaces?," Statistics & Probability Letters, Elsevier, vol. 78(10), pages 1222-1225, August.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:10:p:1222-1225
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