2 research outputs found
Weak Distributivity Implying Distributivity
Let be a complete Boolean algebra. We show, as an application of
a previous result of the author, that if is an infinite cardinal and
is weakly -distributive, then
is -distributive. Using a parallel result, we show
that if is a weakly compact cardinal such that is weakly
-distributive and is -distributive for each , then is -distributive.Comment: 12 page