nForum - Discussion Feed (What should be a 2-geometric morphism?)2021-01-17T07:52:00-05:00https://nforum.ncatlab.org/
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Mike Shulman comments on "What should be a 2-geometric morphism?" (86167)https://nforum.ncatlab.org/discussion/11589/?Focus=86167#Comment_861672020-08-05T12:17:47-04:002021-01-17T07:52:00-05:00Mike Shulmanhttps://nforum.ncatlab.org/account/3/
Yes. Given the adjoint 2-functor theorem, the latter should be equivalent to being a left adjoint.

Yes. Given the adjoint 2-functor theorem, the latter should be equivalent to being a left adjoint.

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Lee Wang comments on "What should be a 2-geometric morphism?" (86112)https://nforum.ncatlab.org/discussion/11589/?Focus=86112#Comment_861122020-08-04T04:50:11-04:002021-01-17T07:52:00-05:00Lee Wanghttps://nforum.ncatlab.org/account/2390/
I believe there is some consensus what a 2-Grothendieck topos should be, characterizing 2-stacks on 2-sites. What are the corresponding 2-geometric morphisms? Preserving finite weighted limits, all ...
I believe there is some consensus what a 2-Grothendieck topos should be, characterizing 2-stacks on 2-sites. What are the corresponding 2-geometric morphisms? Preserving finite weighted limits, all weighted colimits perhaps?
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