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Automatic Continuity for Homomorphisms into Free Products

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Dec 2013Embargo end date: 01 Jan 2012 Denmark English Publisher:Cambridge University Press (CUP)Journal:The Journal of Symbolic Logic, volume 78, pages 1,288-1,306 (issn: 0022-4812, eissn: 1943-5886, Copyright policy )
Authors: Konstantin Slutsky;

doi: 10.2178/jsl.7804160 , 10.48550/arxiv.1212.1596

arXiv: 1212.1596

Automatic Continuity for Homomorphisms into Free Products

Abstract

AbstractA homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is shown to be continuous with respect to the discrete topology on the range. In particular, any completely metrizable group topology on a free product is discrete.

Country
Denmark
Related Organizations
Keywords

FOS: Mathematics, free product, Mathematics - Logic, Group Theory (math.GR), Logic (math.LO), Mathematics - Group Theory, 20E06, 03E15, Automatic continuity

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    		 6
    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.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
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!
6
Average
Top 10%
Average
Green
bronze