3 papers
math.CT2020
Weakly -Categorified Models of Algebraic Theories
Phillip M Bressie, David N Yetter
We provide the expected constructions of weakly -categorified models (in the sense of Bressie) of the theory of groups and quandles which arise by replacing the homotopies used…
math.CT2020
The -categorification of Algebraic Theories
Phillip M Bressie
Batanin and Leinster's work on globular operads has provided one of many potential defnitions of a weak -category. Through the language of globular operads they construct a mona…
math.CT2018
On Tautological Globular Operads
Phillip M Bressie
The purpose of this exposition is to compare the constructions of classical nonsymmetric operads (and their algebras) to that of the globular operads of Leinster and Batanin. It is…