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Feb 6, 2012 at 16:25 comment added Sergey Melikhov The category of metric spaces and uniformly continuous maps has many finite colimits - not all, but enough for the purposes of Baues' cofibration category (or Brown's category of cofibrant objects), arxiv.org/abs/1106.3249
Feb 3, 2012 at 14:37 history edited user2529 CC BY-SA 3.0
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Jan 29, 2012 at 15:28 answer added Peter May timeline score: 8
Jan 29, 2012 at 12:58 comment added user2529 Thank you. Tom's comment tells me that the answer to the question I asked, per se, is "no".
Jan 29, 2012 at 6:28 comment added David Roberts Say by using a relative category.
Jan 29, 2012 at 6:16 comment added Thomas Nikolaus So maybe we should ask for the $\infty$-category which we obtain by localizing the category in question at weak equivalences.
Jan 29, 2012 at 5:38 comment added Tom Goodwillie Lots of diagrams in this category don't have colimits.
Jan 29, 2012 at 4:18 history asked user2529 CC BY-SA 3.0