10 Aug
2001
10 Aug
'01
9:58 a.m.
Bob Pare's answer fully answers the immediate question. Please allow me to add mention of a little observation on absolute colimits (not just coequalizers) in the context of enriched categories which appears as: Absolute colimits in enriched categories, Cahiers topologie et géométrie différentielle 24 (1983) 377- 379; MR85i:18001. It is a good opportunity for me to push the notion of weighted (or indexed) limit; see Francis Borceux's books (p. 327 of Book II) and G. Max Kelly's book (almost the central notion!). Absoluteness is nicely expressible in terms of the weight. --Ross