On the existence of a minimal generating set for $\sigma$-algebras
Functional Analysis
2018-05-17 v2
Abstract
Does there exist for any -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.
Keywords
Cite
@article{arxiv.1406.0817,
title = {On the existence of a minimal generating set for $\sigma$-algebras},
author = {Matija Vidmar},
journal= {arXiv preprint arXiv:1406.0817},
year = {2018}
}
Comments
Problem already previously solved; http://matwbn.icm.edu.pl/ksiazki/fm/fm124/fm12417.pdf