License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CALCO.2015.17
URN: urn:nbn:de:0030-drops-55244
URL: https://drops.dagstuhl.de/opus/volltexte/2015/5524/
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Balan, Adriana ; Kurz, Alexander ; Velebil, Jiri

Extensions of Functors From Set to V-cat

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Abstract

We show that for a commutative quantale V every functor from Set to V-cat has an enriched left-Kan extension. As a consequence, coalgebras over Set are subsumed by coalgebras over V-cat. Moreover, one can build functors on V-cat by equipping Set-functors with a metric.

BibTeX - Entry

@InProceedings{balan_et_al:LIPIcs:2015:5524,
  author =	{Adriana Balan and Alexander Kurz and Jiri Velebil},
  title =	{{Extensions of Functors From Set to V-cat}},
  booktitle =	{6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015)},
  pages =	{17--34},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-84-2},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{35},
  editor =	{Lawrence S. Moss and Pawel Sobocinski},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5524},
  URN =		{urn:nbn:de:0030-drops-55244},
  doi =		{10.4230/LIPIcs.CALCO.2015.17},
  annote =	{Keywords: enriched category, quantale, final coalgebra}
}

Keywords: enriched category, quantale, final coalgebra
Collection: 6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015)
Issue Date: 2015
Date of publication: 28.10.2015


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