Let us recall that a Boolean algebra is superatomic if every subalgebra is atomic. So by the definition, every subalgebra of a superatomic algebra is superatomic. An obvious example of a superatomic ...
In Shelah's model of no Borel lifting of the measure algebra we show that there is a σ-complete Boolean algebra of cardinality 2ω that is not a quotient of a complete Boolean algebra. By Stone duality ...
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