English

Permutative categories, multicategories, and algebraic K-theory

K-Theory and Homology 2014-10-01 v2 Algebraic Topology

Abstract

We show that the KK-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.

Keywords

Cite

@article{arxiv.0710.0082,
  title  = {Permutative categories, multicategories, and algebraic K-theory},
  author = {A. D. Elmendorf and M. A. Mandell},
  journal= {arXiv preprint arXiv:0710.0082},
  year   = {2014}
}
R2 v1 2026-06-21T09:24:00.221Z