In infinity-category theory, factorization systems embed fully faithfully into double infinity-categories, with an unstraightening theorem and a complete Z/2Z automorphism group for adequate systems.
Princeton University Press, Princeton, NJ, 2009, pp
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On orthogonal factorization systems and double categories
In infinity-category theory, factorization systems embed fully faithfully into double infinity-categories, with an unstraightening theorem and a complete Z/2Z automorphism group for adequate systems.