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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. - - | |
| 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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