Reconstructing the Topology on Monoids and Polymorphism Clones of the Rationals

We show how to reconstruct the topology on the monoid of endomorphisms of the rational numbers under the strict or reflexive order relation, and the polymorphism clone of the rational numbers under the reflexive relation. In addition we show how automatic homeomorphicity results can be lifted to pol...

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Veröffentlicht in:	Studia logica 2017-02, Vol.105 (1), p.65-91
Hauptverfasser:	Behrisch, Mike, Truss, John K., Vargas-García, Edith
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational Linguistics Education Logic Mathematical Logic and Foundations Philosophy
Online-Zugang:	Volltext
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Zusammenfassung:	We show how to reconstruct the topology on the monoid of endomorphisms of the rational numbers under the strict or reflexive order relation, and the polymorphism clone of the rational numbers under the reflexive relation. In addition we show how automatic homeomorphicity results can be lifted to polymorphism clones generated by monoids.
ISSN:	0039-3215 1572-8730
DOI:	10.1007/s11225-016-9682-z