Weak Distributivity implying Distributivity
نویسنده
چکیده
Let B be a complete Boolean algebra. We show that if λ is an infinite cardinal and B is weakly (λ, ω)-distributive, then B is (λ, 2)-distributive. Using a similar argument, we show that if κ is a weakly compact cardinal such that B is weakly (2, κ)distributive and B is (α, 2)-distributive for each α < κ, then B is (κ, 2)-distributive.
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ورودعنوان ژورنال:
- J. Symb. Log.
دوره 81 شماره
صفحات -
تاریخ انتشار 2016