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2009 Permutative categories, multicategories and algebraic $K$–theory
A D Elmendorf, M A Mandell
Algebr. Geom. Topol. 9(4): 2391-2441 (2009). 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.

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A D Elmendorf. M A Mandell. "Permutative categories, multicategories and algebraic $K$–theory." Algebr. Geom. Topol. 9 (4) 2391 - 2441, 2009. https://doi.org/10.2140/agt.2009.9.2391

Information

Received: 9 March 2009; Revised: 1 September 2009; Accepted: 7 October 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1205.19003
MathSciNet: MR2558315
Digital Object Identifier: 10.2140/agt.2009.9.2391

Subjects:
Primary: 19D23, 55U99
Secondary: 18D10, 18D50, 55P42

Rights: Copyright © 2009 Mathematical Sciences Publishers

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Vol.9 • No. 4 • 2009
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