Strictification of categories weakly enriched in symmetric monoidal categories

Abstract

We offer two proofs that categories weakly enriched over symmetric monoidal categories can be strictified to categories enriched in permutative categories. This is a "many 0-cells" version of the strictification of bimonoidal categories to strict ones.

12 pages, Comments welcome

References in corpus (2)

• Rings, modules, and algebras in infinite loop space theory
• 2-nerves for bicategories

Cited by in corpus (6)

• Models of G-spectra as presheaves of spectra
• Constructing equivariant spectra via categorical Mackey functors
• Sheet diagrams for bimonoidal categories
• Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory
• The Burnside bicategory of groupoids
• Endomorphisms of the symmetric 2-rig of finite sets