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Sep 22, 2010 at 12:43 comment added Harry Gindi @Peter: I can't disagree with you on that. I just think that this viewpoint gives a much prettier conceptual idea of what's going on. This approach makes it clear that triangulated categories are nothing more than a computationally useful approximation of the underlying picture.
Sep 22, 2010 at 12:28 comment added Peter Arndt I also find this a very enlightening view point, but just for the record: Ho(co)lims in cocomplete triangulated categories are MUCH easier to compute by completing the right map to an exact triangle than by going via a simplicial (or any other) enrichment...
Sep 22, 2010 at 11:05 history edited Harry Gindi CC BY-SA 2.5
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Sep 22, 2010 at 10:59 history edited Harry Gindi CC BY-SA 2.5
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Sep 22, 2010 at 10:51 history edited Harry Gindi CC BY-SA 2.5
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Sep 22, 2010 at 10:43 history edited Harry Gindi CC BY-SA 2.5
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Sep 22, 2010 at 10:31 history answered Harry Gindi CC BY-SA 2.5