置换范畴、多范畴和代数K理论
Permutative categories, multicategories, and algebraic K-theory
摘要:
我们证明了arXiv:math/0403403的$K$ -理论构造,它保持了乘法结构,扩展到对称monoidal闭双完全源范畴,乘法结构仍然保持. arXiv:math/0403403的源类别,其对象是置换类别,完全忠实地映射到新的源类别,其对象是(基于)多类别。
英文摘要:
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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