One defines the category of Diagrams on category A, Diag(A), as in Makkai & Pare's "Accessible Categories". One similarly defines the category of cones on diagrams on A and the category of cocones on diagrams on A. Limits and colimits exist when certain adjunctions hold between these derived categories. I am sure I have seen one or more papers or monographs giving the details for the above. I simply cannot recall where this (these) workout(s) appeared. I would like to (re)read the paper(s), so I would greatly appreciate receiving reminders about where to look for these results. Thank you in advance. With the warmest of season's greetings, David
In answer to David Benson's question of 22 Dec, a BETTER way of looking at the whole matter, which works even for weighted limits, is explained in Albert, H.M. and Kelly, G.M., The closure of a class of colimits, JPAA 51 (1988) 1--17 Regards, Max Kelly.
participants (2)
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David B. Benson -
Max Kelly