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arXiv · 1406.0817

On the existence of a minimal generating set for $\sigma$-algebras

Matija Vidmar
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Abstract

Does there exist for any $\sigma$-algebra a minimal (with respect to inclusion) generating set? We formulate this problem and answer it in the very special instance of partition generated and standard measurable spaces, the general case remaining open.

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Matija Vidmar. 2014-06-03. On the existence of a minimal generating set for $\sigma$-algebras. https://arxiv.org/abs/1406.0817

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