Completeness of the set of sub- σ -algebras

Xikui Wang

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-4

Abstract:

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.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:904654

DOI: 10.1155/S0161171293000626

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