A parity concept for invertible morphisms yields a coherence theorem in symmetric monoidal categories, with the free permutative category on an invertible generator equivalent to the super integers via ±1.
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2 Pith papers cite this work. Polarity classification is still indexing.
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An elementary diagrammatic construction is given for the category L(C) whose strict monoidal functors correspond precisely to lax monoidal functors from C, with variants for oplax and Frobenius lax functors.
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Invertibility and parity in symmetric monoidal categories
A parity concept for invertible morphisms yields a coherence theorem in symmetric monoidal categories, with the free permutative category on an invertible generator equivalent to the super integers via ±1.
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Diagrammatics for lax and Frobenius monoidal functors and weak morphism classifiers
An elementary diagrammatic construction is given for the category L(C) whose strict monoidal functors correspond precisely to lax monoidal functors from C, with variants for oplax and Frobenius lax functors.