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.
Citation
Raphaël Carroy. "A quasi-order on continuous functions." J. Symbolic Logic 78 (2) 633 - 648, June 2013. https://doi.org/10.2178/jsl.7802150
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