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A quasi-order on continuous functions
Published online by Cambridge University Press: 12 March 2014
Abstract
We define a quasi-order on Borel functions from a zero-dimensional Polish space into another that both refines the order induced by the Baire hierarchy of functions and generalises the embeddability order on Borel sets. We study the properties of this quasi-order on continuous functions, and we prove that the closed subsets of a zero-dimensional Polish space are well-quasi-ordered by bi-continuous embeddability.
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- Copyright © Association for Symbolic Logic 2013
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