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Apr 13, 2017 at 12:57 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Oct 28, 2015 at 12:01 vote accept Ilias A.
Oct 23, 2015 at 14:32 comment added Vidit Nanda If you treat your simplicial sets as categories (whose objects are simplices, and where morphisms are generated by face + degeneracy maps modulated by simplicial identities), then your simplicial map becomes a functor and your desired result is Quillen's Theorem A: en.wikipedia.org/wiki/Quillen%27s_theorems_A_and_B Liviu's answer reduces to the case of a simplicial complex while various other counterexamples show why you need homotopy fibers to be contractible (rather than straight-up fibers over vertices).
Oct 23, 2015 at 10:54 answer added Jeff Strom timeline score: 6
Oct 23, 2015 at 2:01 answer added John Rognes timeline score: 11
Oct 15, 2015 at 19:00 answer added Liviu Nicolaescu timeline score: 5
Oct 15, 2015 at 18:51 history edited Ilias A. CC BY-SA 3.0
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Oct 15, 2015 at 18:44 history edited Ilias A. CC BY-SA 3.0
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Oct 15, 2015 at 18:34 history edited Ilias A. CC BY-SA 3.0
added 139 characters in body; edited title
Oct 15, 2015 at 18:24 answer added Tom Goodwillie timeline score: 4
Oct 15, 2015 at 17:37 history asked Ilias A. CC BY-SA 3.0