Fibration of simplicial sets
http://dbpedia.org/resource/Fibration_of_simplicial_sets
In mathematics, especially in homotopy theory, a left fibration of simplicial sets is a map that has the right lifting property with respect to the horn inclusions . A right fibration is one with the right lifting property with respect to the horn inclusions . A Kan fibration is one with the right lifting property with respect to every horn inclusion; hence, a Kan fibration is both a left and right fibration.
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Fibration of simplicial sets
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In mathematics, especially in homotopy theory, a left fibration of simplicial sets is a map that has the right lifting property with respect to the horn inclusions . A right fibration is one with the right lifting property with respect to the horn inclusions . A Kan fibration is one with the right lifting property with respect to every horn inclusion; hence, a Kan fibration is both a left and right fibration. On the other hand, a left fibration is a and a right fibration a . In particular, category fibered in groupoids over another category is a special case of a right fibration of simplicial sets in the ∞-category setup.
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