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This is the personal web of Finn Lawler within the nLab. I’ll put here stuff that I’m working on that doesn’t really fit on the main nLab, or that I want to keep separate for attribution reasons (i.e. thesis material). Links to nonexistent pages are here just so I don’t forget to write them.
Please feel free to leave a comment on anything you find here. Here is how to do it. You can also add a comment on this nForum thread.
Here is a list of stuff I’m planning to work on here:
Assorted 2-Categorical Stuff:
My Thesis:
Other Stuff:
Linton's theorem?
lax 2-adjunction? (see also lax 2-adjunction on nLab)
more to come…
Just so I don’t forget, here’s a couple of papers that I want to understand:
Applegate–Tierney, Categories with models, LNM 80
Kennison–Gildenhuys, Equational completion, model-induced triples and pro-objects, JPAA 1(4), doi, MR306289
including their relationship with shape theory and some stuff on pro- and ind-objects in chapter six of Stone Spaces.
See References for details of other works cited here.