Finn Lawler HomePage (Rev #16, changes)

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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:

• 2-categorical miscellany?: explanations of things I want to understand, and definitions etc. that nobody seems to have written down before.

My Thesis:

• thesis outline

  realizability?

  • regular logic?, regular fibration

  • equipment?, cartesian equipment?

• …

Other Stuff Stuff: (possibly for use in thesis, possibly not):

• 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.