Braided injections and double loop spaces
Algebraic Topology
2015-12-16 v2
Abstract
We consider a framework for representing double loop spaces (and more generally E-2 spaces) as commutative monoids. There are analogous commutative rectifications of braided monoidal structures and we use this framework to define iterated double deloopings. We also consider commutative rectifications of E-infinity spaces and symmetric monoidal categories and we relate this to the category of symmetric spectra.
Cite
@article{arxiv.1403.1101,
title = {Braided injections and double loop spaces},
author = {Christian Schlichtkrull and Mirjam Solberg},
journal= {arXiv preprint arXiv:1403.1101},
year = {2015}
}
Comments
34 pages, 4 figures, minor corrections