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Results tagged with limits-and-colimits
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user 4262
For questions on limits and colimts in the sense of category theory, and related notions.
7
votes
Accepted
2-completeness analog of completeness theorem
Your suspicion is correct: in general, a V-category has all weighted V-limits if it has all conical V-limits and is cotensored over V (see Kelly's Basic Concepts of Enriched Category Theory, section 3 …
- 3,622
6
votes
Is there a tricategory of bicategories and biprofunctors?
If you're still interested, I've worked this out on my personal web at nLab here, with supporting material linked to from this page.
- 3,622
3
votes
Accepted
Strong colimits of categories.
Adapted from the papers by Fiore and by Porter that I referred to above:
To form the usual lax colimit of P we take the disjoint union of the $P_i$ for each $i \in C$ and then adjoin new arrows to re …
- 3,622