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Sep 14, 2018 at 10:17 comment added Robert Furber Halmos uses "Boolean $\sigma$-algebra" to mean a $\sigma$-complete (abstract) Boolean algebra. This is not redundant, because a $\sigma$-algebra then has its usual definition in measure theory (a field of sets closed under complement and countable union). However, the word Boolean is acting in a peculiar way, so I avoid this terminology in my own writing.
Aug 1, 2018 at 14:15 history answered Alex Kruckman CC BY-SA 4.0