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Dec 29, 2017 at 15:40 comment added Dan Ramras To clarify, Clader's result actually gives a homotopy equivalence, in contrast to the earlier results of McCord, which show that every finite simplicial complex is weakly homotopy equivalent to a finite space.
Dec 28, 2017 at 23:23 history edited j.c. CC BY-SA 3.0
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Dec 28, 2017 at 20:44 comment added Denis Nardin Hah! I should have remembered the Thomason model structure.
Dec 28, 2017 at 20:02 history answered Peter May CC BY-SA 3.0