Is there a collection of $2^{\aleph_0}$ pairwise non-isomorphic countable Boolean algebras?
Equivalently, are there $2^{\aleph_0}$ pairwise non-homeomorphic closed subsets in the Cantor space?
Are there $2^{\aleph_0}$ pairwise non-isomorphic Boolean algebras on $\omega$?
Dominic van der Zypen
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