In
category theory, an abstract branch of mathematics, a dominant functor is a
functorF : C → D in which every object of D is a
retract of an object of the form F(x) for some object X of C.[1]
References
^Bruguières, A.; Burciu, Sebastian (March 2014), "On normal tensor functors and coset decompositions for fusion categories", Applied Categorical Structures,
arXiv:1210.3922,
doi:
10.1007/s10485-014-9371-x.