## References * Tom Leinster, How I Learned to Love the Nerve Construction, [blog](http://golem.ph.utexas.edu/category/2008/01/mark_weber_on_nerves_of_catego.html) * Emily Riehl, Understanding the Homotopy Coherent Nerve, [blog](http://golem.ph.utexas.edu/category/2010/04/understanding_the_homotopy_coh.html) * nerve of a graph, at [[Segal condition]] * [[nLab:complicial set|Complicial sets]] are precisely those simplicial sets which arise as the omega nerve of a strict omega-category. * A simplicial set is the nerve of a category precisely if it satisfies the Segal condition, at [[nerve]] * (Nerve Theorem, Segal 1968): A simplicial set is the nerve of a small category precisely if it satsfies the Segal conditions. See the reference at [[nLab:Segal condition]] * For further relations between nerves and Segal condition, see [[nerves and Segal conditions]]