An Operadic Approach to Internal Structures

We study internal structures in the category of algebras for an operad, and show that these themselves admit an operadic description. The main case of interest is where the operad is on an abelian category, and the internal structures in question are those of internal category, internal n-category, or internal (cubical) n-tuple category. This allows an operadic treatment of crossed modules and other crossed structures.

• Type: Journal
• Year: 2005
• Where: ACS
• Authors: Stephen Lack, Simona Paoli
• Keywords: ACS 2005, ACS 2007, Internal, Internal Category, Internal Structures