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

Yi Yan

Statistics & Probability Letters, 2008, vol. 78, issue 10, 1222-1225

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.

Date: 2008
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