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.

34 pages, 4 figures, minor corrections

References in corpus (2)

• Diagram spaces and symmetric spectra
• Rectification of Weak Product Algebras over an Operad in Cat and Top and Applications

Cited by in corpus (1)

• Weak braided monoidal categories and their homotopy colimits