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Symmetry and Cauchy completion of quantaloid-enriched categories | Hans Heymans
; Isar Stubbe
; | Date: |
6 May 2010 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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