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arXiv · 1603.01550

Reconstructing the topology on monoids and polymorphism clones of the rationals

Mike Behrisch·John K Truss·Edith Vargas-García
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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.

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Mike Behrisch, John K Truss, Edith Vargas-García. 2016-03-04. Reconstructing the topology on monoids and polymorphism clones of the rationals. https://doi.org/10.1007/s11225-016-9682-z

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