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SUMMARY:Lex colimits - Richard Garner
DTSTART:20110315T141500Z
DTEND:20110315T154500Z
UID:TALK30291@talks.cam.ac.uk
CONTACT:Nathan Bowler
DESCRIPTION:Amongst the range of structures it has been found mathematical
 ly useful to impose upon a category\, we find a number which share the fol
 lowing form. There are required the provision of finite limits\, of colimi
 ts from some specified class\, and of certain compatibilities---or "exactn
 esses"---between the finite limits and the colimits. Some typical examples
  are the notions of regular\, or Barr-exact\, 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 cocomple
 teness with respect to a class of colimits "in the left exact world".
LOCATION:MR3\, Centre for Mathematical Sciences
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