Braided injections and double loop spaces

2014/03/05 by Christian Schlichtkrull, Schlichtkrull, Christian, Mirjam Solberg +1
Mathematics · #18D10 #18D50 #55P43 #55P48 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1403.1101

openalex publication_date 2014/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Modules of topological spaces, applications to homotopy limits andE ? structures

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