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The construction of E∞ ring spaces from
bipermutative categories
J P May
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Geometry & Topology Monographs 16
(2009) 283–330
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Abstract
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The construction of E∞ ring spaces and thus E∞ ring spectra from bipermutative
categories gives the most highly structured way of obtaining the K–theory
commutative ring spectra. The original construction dates from around 1980 and
has never been superseded, but the original details are difficult, obscure,
and slightly wrong. We rework the construction in a much more elementary
fashion.
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Keywords
bipermutative category,
E∞ ring space, E∞ space,
permutative category, symmetric monoidal category, symmetric
bimonoidal category
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Mathematical Subject Classification
Primary: 18C20, 18D10, 18D50, 19D23,
55P48
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Publication
Received: 14 September 2008
Accepted: 14 January 2009
Published: 25 June 2009
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