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A thin-tall Boolean algebra which is isomorphic to each of its uncountable subalgebras

Authors:	Robert Bonnet Matatyahu Rubin

Institution:	^a Université de Savoie, Chambery, France ^b Ben Gurion University, Beer Sheva, Israel

Abstract:	Theorem A ℵ₁_?. There is a Boolean algebra B with the following properties: (1) B is thin-tall, and (2) B is downward-categorical. That is, every uncountable subalgebra of B is isomorphic to B.

Keywords:	54G12 06E15
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