I haven’t checked the references, but am pretty sure it refers to recovering a 2-category as the 2-category $\mathsf{Hom}(A^{op}, \mathsf{CAT})$ for some $A$. In other words, one can glue various 2-categories together to recover one’s original one. This is where the interval category in the conditions comes in: it is pretty obvious that one can build up any category by gluing together intervals and imposing equality conditions on arrows, and this is just an enrichment of that idea.

Gluing

]]>Can you comment on what is the raison behind the terminology ?

]]>Ah, I see, thank you!

]]>here is what I do, it’s easy:

send Google the paper title

find the published page among the first few hits

click on “cite as” or similar

copy-and-paste what it offers:

In the present case I immediately get this:

- John Gray,
*The meeting of the Midwest Category Seminar in Zurich August 24–30, 1970*, Lecture Notes in Mathematics, vol 195. Springer 1971, pp. 254–255 (doi:10.1007%2FBFb0072315)

I apologise in advance for the format of the page and the citation style. Is there a way we can generate the appropriate citations directly from BibTeX? It is tedious to do so by hand.

]]>Create a stub page.

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