A well-quasi-order for continuous functions
Logic
2024-10-18 v1
Abstract
We prove that continuous reducibility is a well-quasi-order on the class of continuous functions between separable metrizable spaces with analytic zero-dimensional domain. To achieve this, we define scattered functions, which generalize scattered spaces, and describe exhaustively scattered functions between zero-dimensional separable metrizable spaces up to continuous equivalence.
Cite
@article{arxiv.2410.13150,
title = {A well-quasi-order for continuous functions},
author = {Raphaël Carroy and Yann Pequignot},
journal= {arXiv preprint arXiv:2410.13150},
year = {2024}
}