Re: categories: Weighted limits

["Keith Harbaugh" <harbaugh_keith@hotmail.com>]

Perhaps a useful reference on weighted (there called indexed) limits
is Chapter 3 of Basic Concepts of Enriched Category Theory by Max Kelly,
containing your desired result and much more.
BTW, Peter Johnstone wrote a rather nice (and amusing) review of BCECT
in the Bulletin of the London Mathematical Society,
supplementing the helpful, accurate, but not very farseeing (in terms
of potential applications for ECs) BAMS review by Gray
and Linton's short antidote to Gray in MR.

Regards,
Keith Harbaugh


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