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Results tagged with examples
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user 152679
For questions requesting examples of a certain structure or phenomenon
2
votes
Accepted
Horizontal categorification: Two questions
Often when a horizontal categorification is introduced, the author has intended examples, which the author gives as the motivation. … I think these examples give some indication that studying horizontal categorifications in their own right can lead to interesting structures that may then be motivated by concrete examples. …
- 10.7k
7
votes
2
answers
228
views
Examples of 2-categories with multiple interesting proarrow equipment structures
What are some examples of 2-categories $\mathcal K$ for which there are distinct interesting proarrow equipment structures $({-})_* \colon \mathcal K \to \mathcal M$? …
- 10.7k
7
votes
2
answers
642
views
Existence of nontrivial categories in which every object is atomic
If there are no non-posetal examples, are there any nontrivial posetal examples? (The terminal category forms a trivial example of a posetal example.) …
- 10.7k
13
votes
0
answers
207
views
Examples and counterexamples to Lack's coherence observation
The examples given by Lack are (special cases of):
The bicategory of (enriched) profunctors is biequivalent to the 2-category of presheaf categories and (enriched) cocontinuous functors. … It would be nice to have more examples to justify this observation, or to have some (apparent) counterexamples to the claim. What are some some other examples of Lack's remark? …
- 10.7k