Coherence for invertible objects and multi-graded homotopy rings

Abstract

We prove a coherence theorem for invertible objects in a symmetric monoidal category. This is used to deduce associativity, skew-commutativity, and related results for multi-graded morphism rings, generalizing the well-known versions for stable homotopy groups.

Cited by in corpus (6)

• Motivic and Real Etale Stable Homotopy Theory
• Graded Tambara Functors
• Algebraic Cobordism and Étale Cohomology
• The Multiplicative Structures on Motivic Homotopy Groups
• $RO(G)$-graded Bredon cohomology of Euclidean configuration spaces
• On the structure of the $RO(G)$-graded homotopy of $H\underline{M}$ for cyclic $p$-groups