157 citations · 193 across the 6 of their papers we have counts for
6 papers
Multicategories from Symmetric Monoidal Categories
A. D. Elmendorf
This paper considers the possible underlying multicategories for a symmetric monoidal category, and shows that, up to canonical and coherent isomorphism, there really is only one.…
Operads for Symmetric Monoidal Categories
A. D. Elmendorf
This paper gives an explicit description of the categorical operad whose algebras are precisely symmetric monoidal categories. This allows us to place the operad in a sequence of f…
Multiplicativity in Mandell's Inverse K-theory
A. D. Elmendorf
We show that Mandell's inverse -theory functor from -categories to permutative categories preserves multiplicative structure. This is a first step towards an equivariant gene…
Left Adjoints for Generalized Multicategories
A. D. Elmendorf
We construct generalized multicategories associated to an arbitrary operad in Cat that is -free. The construction generalizes the passage to symmetric multicategories from permu…
Permutative categories, multicategories, and algebraic K-theory
A. D. Elmendorf, M. A. Mandell
We show that the -theory construction of arXiv:math/0403403, which preserves multiplicative structure, extends to a symmetric monoidal closed bicomplete source category, with th…
Rings, modules, and algebras in infinite loop space theory
A. D. Elmendorf, M. A. Mandell
We give a new construction of the algebraic -theory of small permutative categories that preserves multiplicative structure, and therefore allows us to give a unified treatment…