标题：Completeness of the set of sub-<mml:math alttext="$\sigma$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>σ</mml:mi></mml:math>-algebras
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1993
卷号：16
DOI：10.1155/S0161171293000626
出版社：Hindawi Publishing Corporation
摘要：A new metric is introduced on the set of all sub-σ-algebras of a complete probability
space from functional analysis point of view. In this note, we will show that the resulting metric
space is complete.
