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math.CT2021
Coherence for bicategories, lax functors, and shadows
Cary Malkiewich, Kate Ponto
Coherence theorems are fundamental to how we think about monoidal categories and their generalizations. In this paper we revisit Mac Lane's original proof of coherence for monoidal…
math.CT2012★ 41 cited
Duality and traces for indexed monoidal categories
Kate Ponto, Michael Shulman
By the Lefschetz fixed point theorem, if an endomorphism of a topological space is fixed-point-free, then its Lefschetz number vanishes. This necessary condition is not usually suf…