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math.CT2019
Opetopic algebras I: Algebraic structures on opetopic sets
Cédric Ho Thanh, Chaitanya Leena Subramaniam
We define a family of structures called "opetopic algebras", which are algebraic structures with an underlying opetopic set. Examples of such are categories, planar operads, and Lo…
math.CT2019
Syntactic approaches to opetopes
Pierre-Louis Curien, Cédric Ho Thanh, Samuel Mimram
Opetopes are algebraic descriptions of shapes corresponding to compositions in higher dimensions. As such, they offer an approach to higher-dimensional algebraic structures, and in…