Group completion and units in I-spaces
Algebraic Topology
2014-10-01 v3
Abstract
The category of I-spaces is the diagram category of spaces indexed by finite sets and injections. This is a symmetric monoidal category whose commutative monoids model all E-infinity spaces. Working in the category of I-spaces enables us to simplify and strengthen previous work on group completion and units of E-infinity spaces. As an application we clarify the relation to Gamma-spaces and show how the spectrum of units associated with a commutative symmetric ring spectrum arises through a chain of Quillen adjunctions.
Cite
@article{arxiv.1111.6413,
title = {Group completion and units in I-spaces},
author = {Steffen Sagave and Christian Schlichtkrull},
journal= {arXiv preprint arXiv:1111.6413},
year = {2014}
}
Comments
v3: 43 pages. Minor revisions, accepted for publication in Algebraic and Geometric Topology