Displaying similar documents to “On minimal dynamical systems on Boolean algebras”

Boolean algebras admitting a countable minimally acting group

Aleksander Błaszczyk, Andrzej Kucharski, Sławomir Turek (2014)

Open Mathematics

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The aim of this paper is to show that every infinite Boolean algebra which admits a countable minimally acting group contains a dense projective subalgebra.

Elementary equivalence of lattices of open sets definable in o-minimal expansions of real closed fields

Vincent Astier (2013)

Fundamenta Mathematicae

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We prove that the boolean algebras of sets definable in elementarily equivalent o-minimal expansions of real closed fields are back-and-forth equivalent, and in particular elementarily equivalent, in the language of boolean algebras with new predicates indicating the dimension, Euler characteristic and open sets. We also show that the boolean algebra of semilinear subsets of [0,1]ⁿ definable in an o-minimal expansion of a real closed field is back-and-forth equivalent to the boolean...