Permutative categories, multicategories, and algebraic K-theory

Details Permutative categories, multicategories, and algebraic K-theory Permutative categories, multicategories, and algebraic K-theory

2007-09-29

arxiv.org/abs/0710.0082v2

Algebraic & Geometric Topology 9 (2009) 2391-2441

Mathematics

K-Theory and Homology

Scientific paper

10.2140/agt.2009.9.2391

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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