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The complexity of continuous embeddability between dendrites

Published online by Cambridge University Press:  12 March 2014

Alberto Marcone  and
Christian Rosendal
Alberto Marcone
Affiliation:
Dipartimento di Matematica e Informatica, Università di Udine, Via Delle Scienze 208, 33100 Udine, Italy, E-mail: marcone@dimi.uniud.it
Christian Rosendal
Affiliation:
Équipe D'Analyse Fonctionnelle, Université Paris 6, Tour 46-0. Boîte 186; 4, Place Jussieu, 75252 Paris, France, E-mail: rosendal@ccr.jussieu.fr
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Abstract.

We show that the quasi-order of continuous embeddability between finitely branching dendrites (a natural class of fairly simple compacta) is -complete. We also show that embeddability between countable linear orders with infinitely many colors is -complete.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 69 , Issue 3 , September 2004 , pp. 663 - 673
Copyright
Copyright © Association for Symbolic Logic 2004

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References

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