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Boolean Algebras and Raising Maps to Zero-Dimensional Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
Let X be a separable metric space and let be a family of countably many self-maps of X. Then there is a countable subalgebra of the Boolean algebra of regular open subsets of X which is a base for X such that for each the function defined by Φf(B) = (f-1(B))-0 is a homomorphism.
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- Copyright © Canadian Mathematical Society 1983