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Permutative categories, multicategories and algebraic K–theory

A D Elmendorf and M A Mandell

Algebraic & Geometric Topology 9 (2009) 2391–2441

DOI: 10.2140/agt.2009.9.2391
Abstract

We show that the K–theory construction of our paper [Adv. Math 205 (2006) 163-228], which preserves multiplicative structure, extends to a symmetric monoidal closed bicomplete source category, with the multiplicative structure still preserved. The source category of [op cit], whose objects are permutative categories, maps fully and faithfully to the new source category, whose objects are (based) multicategories.

Keywords

K–theory, permutative category, multicategory
Mathematical Subject Classification

Primary: 19D23, 55U99

Secondary: 18D10, 18D50, 55P42
References
Publication

Received: 9 March 2009
Revised: 1 September 2009
Accepted: 7 October 2009
Published: 3 November 2009
Authors
A D Elmendorf
Department of Mathematics
Purdue University Calumet
Hammond, IN 46323
M A Mandell
Department of Mathematics
Indiana University
Bloomington, IN 47405