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Questions of the kind "What's the name for a X that satisfies property Y?"

4 votes
0 answers
127 views

What should be the terminology regarding symmetries in 2-Cat?

This is a boring question about $2$-categorical terminology. … Is there a reason why one should use this terminology? Why does one not merely say "transformation" and "optransformation"? In fact, there is worse. …
4 votes
1 answer
531 views

Is there a standard name for a 2-category which has an object z such that, for every object ...

I am aware that there should be something like an adjunction between such a 2-category and the terminal one going on here, but I am really looking for standard terminology if there is one now. …