Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 14, Number 2 (2014), 1055-1106.
Coherence for invertible objects and multigraded homotopy rings
We prove a coherence theorem for invertible objects in a symmetric monoidal category (or equivalently, a coherence theorem for symmetric categorical groups). This is used to deduce associativity, skew-commutativity, and related results for multigraded morphism rings, generalizing the well-known versions for stable homotopy groups.
Algebr. Geom. Topol., Volume 14, Number 2 (2014), 1055-1106.
Received: 5 March 2013
Revised: 8 October 2013
Accepted: 9 October 2013
First available in Project Euclid: 19 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]
Secondary: 55Q05: Homotopy groups, general; sets of homotopy classes 55U99: None of the above, but in this section
Dugger, Daniel. Coherence for invertible objects and multigraded homotopy rings. Algebr. Geom. Topol. 14 (2014), no. 2, 1055--1106. doi:10.2140/agt.2014.14.1055. https://projecteuclid.org/euclid.agt/1513715857