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math.CT2022
Plus constructions, plethysm, and unique factorization categories with applications to graphs and operad-like theories
Ralph M. Kaufmann, Michael Monaco
Baez-Dolan type plus constructions serve three main purposes: They (1) corepresent categorical bimodules that are monoids with respect to a plethysm product, (2) allow to define fu…
math.CT2017★ 7 cited
Comprehensive factorisation systems
Clemens Berger, Ralph M. Kaufmann
We establish a correspondence between consistent comprehension schemes and complete orthogonal factorisation systems. The comprehensive factorisation of a functor between small cat…