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Studia Logica

, Volume 105, Issue 1, pp 65–91 | Cite as

Reconstructing the Topology on Monoids and Polymorphism Clones of the Rationals

  • Mike Behrisch
  • John K. TrussEmail author
  • Edith Vargas-García
Article

Abstract

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.

Keywords

Rationals Automatic homeomorphicity Embedding Endomorphism Polymorphism clone 

Mathematics Subject Classification

08A35 

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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • Mike Behrisch
    • 1
  • John K. Truss
    • 2
    Email author
  • Edith Vargas-García
    • 2
  1. 1.Institute of Discrete Mathematics and GeometryTechnische Universität WienWienAustria
  2. 2.Department of Pure MathematicsUniversity of LeedsLeedsUK

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