Lex colimits
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If you have a question about this talk, please contact Nathan Bowler.
Amongst the range of structures it has been found mathematically useful to impose upon a category, we find a number which share the following form. There are required the provision of finite limits, of colimits from some specified class, and of certain compatibilities—or “exactnesses”—between the finite limits and the colimits. Some typical examples are the notions of regular, or Barrexact, or lextensive, or adhesive, or coherent, or geometric category. This talk will describe joint work with Steve Lack which accounts for these similiarities, by exhibiting all such notions as particular instances of one common one—that of cocompleteness with respect to a class of colimits “in the left exact world”.
This talk is part of the Category Theory Seminar series.
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