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Title
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Symmetry and cauchy completion of quantaloid-enriched categories
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Author
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Abstract
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| 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. For such quantaloids, which we call Cauchy-bilateral quantaloids, it follows that the Cauchy completion of any symmetric Q-enriched category is again symmetric. Examples include Lawvere's quantale of non-negative real numbers and Walters' small quantaloids of closed cribles. |
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Language
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English
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Source (journal)
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Theory and applications of categories. - -
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Publication
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2011
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ISSN
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1201-561X
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Volume/pages
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25
(2011)
, p. 276-426
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ISI
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000300166900002
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