Abstract
The category of –spaces is the diagram category of spaces indexed by finite sets and injections. This is a symmetric monoidal category whose commutative monoids model all –spaces. Working in the category of –spaces enables us to simplify and strengthen previous work on group completion and units of –spaces. As an application we clarify the relation to –spaces and show how the spectrum of units associated with a commutative symmetric ring spectrum arises through a chain of Quillen adjunctions.
Citation
Steffen Sagave. Christian Schlichtkrull. "Group completion and units in $\mathcal{I}\mkern -1mu$–spaces." Algebr. Geom. Topol. 13 (2) 625 - 686, 2013. https://doi.org/10.2140/agt.2013.13.625
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