Wood fusion for magmal comonads

Abstract

The goal is to show how a 1978 paper of Richard Wood on monoidal comonads and exponentiation relates to more recent publications such as Pastro-Street (2009) and Bruguiéres-Lack-Virelizier (2011). In the process, we mildly extend the ideas to procomonads in a magmal setting and suggest it also works for algebras for any club in the sense of Max Kelly (1972).

25 pages