317 citations · 320 across the 4 of their papers we have counts for
4 papers
From Finite Sets to Feynman Diagrams
John C. Baez, James Dolan
`Categorification' is the process of replacing equations by isomorphisms. We describe some of the ways a thoroughgoing emphasis on categorification can simplify and unify mathemati…
Categorification
John C. Baez, James Dolan
Categorification is the process of finding category-theoretic analogs of set-theoretic concepts by replacing sets with categories, functions with functors, and equations between fu…
Higher-Dimensional Algebra III: n-Categories and the Algebra of Opetopes
John C. Baez, James Dolan
We give a definition of weak n-categories based on the theory of operads. We work with operads having an arbitrary set S of types, or `S-operads', and given such an operad O, we de…
Higher-dimensional Algebra and Topological Quantum Field Theory
John C. Baez, James Dolan
The study of topological quantum field theories increasingly relies upon concepts from higher-dimensional algebra such as n-categories and n-vector spaces. We review progress towar…