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Stream: learning: questions

Topic: 2-functors from functors

Daniel Teixeira (Oct 17 2022 at 19:28):

I am working on something related to the following question:

Let $\mathsf C$ and $\mathsf D$ be bicategories and $F:h\mathsf C\to h\mathsf D$ be a functor between the underlying categories. Under which conditions does $F$ come from an pseudofunctor $\mathsf C\to\mathsf D$?

Of course this is too broad, just checking to see if anybody got some leads

Peter Arndt (Oct 18 2022 at 06:44):

There is a model structure on bicategories: Steve Lack, A Quillen Model Structure for Biategories, K-Theory 33: 185-197, 2004 (couldn't find a link to the article). If C and/or D are cofibrant and/or fibrant in that structure, you might be in a good position to find a lift.

Peter Arndt (Oct 18 2022 at 06:46):

(deleted)

Peter Arndt (Oct 18 2022 at 06:47):

Just saying things I would check - not sure it will lead anywhere...

Joe Moeller (Oct 18 2022 at 15:33):

This MO post seems related to not finding a link to the article.
https://mathoverflow.net/questions/136465/what-happened-to-online-articles-published-in-k-theory-springer-journal

Peter Arndt (Oct 18 2022 at 18:48):

Ah, and it contains a link ... that doesn't work at the moment.