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...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-03
Main Authors: Behrisch, Mike, Truss, John K, Vargas-García, Edith
Format: Article
Language:English
Subjects:
Monoids
Numbers
Polymorphism
Topology
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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:2331-8422
DOI:10.48550/arxiv.1603.01550