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'Hausdorff distance' via conical cocompletion | Isar Stubbe
; | Date: |
16 Mar 2009 | Abstract: | In the context of quantaloid-enriched categories, we explain how each
saturated class of weights defines, and is defined by, an essentially unique
full sub-KZ-doctrine of the free cocompletion KZ-doctrine. The KZ-doctrines
which arise as full sub-KZ-doctrines of the free cocompletion, are
characterised by two simple "fully faithfulness" conditions. Conical weights
form a saturated class, and the corresponding KZ-doctrine is precisely (the
generalisation to quantaloid-enriched categories of) the Hausdorff doctrine of
[Akhvlediani et al., 2009]. | Source: | arXiv, 0903.2722 | Services: | Forum | Review | PDF | Favorites |
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