Geodesic
Permutative categories, multicategories and algebraic K–theory
Elmendorf, A D1 ; Mandell, M A2
1Department of Mathematics, Purdue University Calumet, Hammond, IN 46323
2Department of Mathematics, Indiana University, Bloomington, IN 47405
Algebraic and Geometric Topology, Tome 9 (2009) no. 4, pp. 2391-2441
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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.

DOI : 10.2140/agt.2009.9.2391
Keywords: $K$–theory, permutative category, multicategory

Elmendorf, A D  1   ; Mandell, M A  2

1 Department of Mathematics, Purdue University Calumet, Hammond, IN 46323
2 Department of Mathematics, Indiana University, Bloomington, IN 47405 
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Elmendorf, A D; Mandell, M A. Permutative categories, multicategories and algebraic K–theory. Algebraic and Geometric Topology, Tome 9 (2009) no. 4, pp. 2391-2441. doi: 10.2140/agt.2009.9.2391

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