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Jul 8, 2014 at 15:30 comment added Fernando Muro take a look at math.univ-toulouse.fr/~dcisinsk/kthwt.pdf It's very long, but you can skip many technical parts. Maybe you can first take a look at the informal discussion in the nlab: ncatlab.org/nlab/show/derivator
Jul 8, 2014 at 15:19 comment added David Carchedi Do you have any suggested starting point? (E.g. an explanation of how a category of fibrant objects is a derivator). I haven't yet learned the derivator formalism.
Jul 8, 2014 at 15:15 comment added Fernando Muro Being equally vague, I'd suggest to look at this question from the point of view of derivators. Categories of fibrant objects (depending on the axioms you take) have an associated right derivator (right/left also depends on the author, but I mean derivator with htpy limits). The existence of htpy colimits for some diagrams is just a property which this derivator may (or not) have.
Jul 8, 2014 at 15:03 history asked David Carchedi CC BY-SA 3.0