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28 March 2024
 
  » arxiv » 1005.1018

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Symmetry and Cauchy completion of quantaloid-enriched categories
Hans Heymans ; Isar Stubbe ;
Date 6 May 2010
AbstractWe formulate an elementary condition on an involutive quantaloid Q under which there is a distributive law from the Cauchy completion monad over the symmetrisation comonad on the category of Q-enriched categories. In particular does it then follow that the Cauchy completion of any symmetric Q-enriched category is again symmetric. Examples of quantaloids satisfying this condition include Lawvere’s quantale of non-negative real numbers and Walters’ small quantaloids of relations.
Source arXiv, 1005.1018
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