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

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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Year of publication:	2008
Authors:	Yan, Yi
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 78.2008, 10, p. 1222-1225
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005137809