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Gutman A.E., Sotnikov A.I.
On order complete sigma-algebras [in Russian] //
Sci. Proc. TyvSU. Kyzyl: TyvSU. 2003. Issue 1. P. 83–86.

A criterion is obtained for existence of a σ-algebra Σ of subsets of a given set X such that Σ is order complete and atomic, but is not discrete, i.e., Σ does not coincide with the totality of the unions of various subsets of some partition of X.
Type Article
Authors Gutman Alexander Efimovich
Sotnikov Alexey Igorevich
Title On order complete sigma-algebras
Journal Scientific Proceedings of Tyva State University. Kyzyl: TyvSU
Year 2003
Issue 1
Pages 83–86
Language Russian
© 2003.11.14
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Study of the spaces of transition functions and their relations to other objects of functional analysis
 
 
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July 19, 2018