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Permutative categories, multicategories, and algebraic K-theory

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abstract

We show that the $K$-theory construction of arXiv:math/0403403, which preserves multiplicative structure, extends to a symmetric monoidal closed bicomplete source category, with the multiplicative structure still preserved. The source category of arXiv:math/0403403, whose objects are permutative categories, maps fully and faithfully to the new source category, whose objects are (based) multicategories.

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math-ph 1

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2025 1

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CONDITIONAL 1

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