Braided injections and double loop spaces
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2014
- DOI:
- 10.48550/arXiv.1403.1101
- arXiv:
- arXiv:1403.1101
- Bibcode:
- 2014arXiv1403.1101S
- Keywords:
-
- Mathematics - Algebraic Topology;
- 18D10;
- 18D50;
- 55P48;
- 55P43
- E-Print:
- 34 pages, 4 figures, minor corrections