So far as I know the most explicit, extensive account of how model theorists do use categories---and ought to use them more freely and explicitly---is in AUTHOR = {Macintyre, Angus}, TITLE = {Model Theory: Geometrical and Set-Theoretic Aspects and Prospects}, JOURNAL = {Bulletin of Symbolic Logic}, YEAR = {2003}, volume = {9}, number = {2}, pages = {197--212}, And there are some pointed remarks, about a tendency to avoid explicitly using categorical tools that are in effect already being used, in Pillay's part of Author = {Buss, Samuel and Kechris, Alexander and Pillay, Anand and Shore, Richard}, TITLE = {The Prospects for Mathematical Logic in the Twenty-First Century}, JOURNAL = {Bulletin of Symbolic Logic}, YEAR = {2001}, volume = {7}, number = {2}, pages = {169--96}, Unsystematic uses occur throughout the literature, often without using the word "category." I would mention especially AUTHOR = {van den Dries, Lou}, TITLE = {Tame Topology and O-minimal Structures}, PUBLISHER = {Cambridge University Press}, YEAR = {1998}, address = {Cambridge}, editor = {Haskell, Dierdre and Pillay, Anand and Steinhorn, Charles}, TITLE = {Model Theory, Algebra, and Geometry}, PUBLISHER = {Cambridge University Press}, YEAR = {2000}, number = {39}, series = {Mathematical Sciences Research Center Publications}, best, Colin ----- Original Message ----- From: Jonathan CHICHE ??? <jonathan.chiche@polytechnique.edu> Date: Tuesday, January 27, 2009 7:32 am Subject: categories: Model Theory and Category Theory To: Categories list <categories@mta.ca>

Hello,

I am looking for references regarding the interplay between Model Theory and Category Theory. I came across an announcement related to this topic recently, possibly on this list, but I cannot find it anymore. There has been a thread about it on the n-Category café a few months ago also. Do you have any other reference? What would be

the best place to start?

Thanks in advance,

Jonathan