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Studia Logica
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Studia Logica
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Studia Logica
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Reconstructing the Topology on Monoids and Polymorphism Clones of the Rationals

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 18 Oct 2016Embargo end date: 01 Jan 2016 English Publisher:Springer Science and Business Media LLCJournal:Studia Logica, volume 105, pages 65-91 (issn: 0039-3215, eissn: 1572-8730, Copyright policy )Funded by:FWF | Algorithms and Complexity...
Authors: Mike Behrisch; Edith Vargas-García; John K. Truss;

doi: 10.1007/s11225-016-9682-z , 10.48550/arxiv.1603.01550

arXiv: http://arxiv.org/abs/1603.01550

Reconstructing the Topology on Monoids and Polymorphism Clones of the Rationals

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.

16 pages

Related Organizations
Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, Mathematics - Logic, Logic (math.LO), 08A35

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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Average
Green
bronze