Volume 9, issue 4 (2009)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

Author Index
The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
To Appear
 
Other MSP Journals
Permutative categories, multicategories and algebraic $K$–theory

A D Elmendorf and M A Mandell

Algebraic & Geometric Topology 9 (2009) 2391–2441
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 2000
Primary: 19D23, 55U99
Secondary: 55P42, 18D10, 18D50
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