Reconstructing the topology on monoids and polymorphism clones of the rationals
Rings and Algebras
2018-12-20 v1 Logic
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
Cite
@article{arxiv.1603.01550,
title = {Reconstructing the topology on monoids and polymorphism clones of the rationals},
author = {Mike Behrisch and John K Truss and Edith Vargas-García},
journal= {arXiv preprint arXiv:1603.01550},
year = {2018}
}
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16 pages