Universal analytic preorders arising from surjective functions

Volume 187 / 2005

Riccardo Camerlo Fundamenta Mathematicae 187 (2005), 193-212 MSC: 03E15, 54F15. DOI: 10.4064/fm187-3-1

Abstract

Examples are presented of $ {\bf\Sigma}_1^1$-universal preorders arising by requiring the existence of particular surjective functions. These are: the relation of epimorphism between countable graphs; the relation of being a continuous image (or a continuous image of some specific kind) for continua; the relation of being continuous open image for dendrites.

Authors

  • Riccardo CamerloDipartimento di Matematica
    Politecnico di Torino
    Corso Duca degli Abruzzi 24
    10129 Torino, Italy
    e-mail

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