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math.QA2003★ 230 cited
Higher-Dimensional Algebra V: 2-Groups
John C. Baez, Aaron D. Lauda
A 2-group is a "categorified" version of a group, in which the underlying set G has been replaced by a category and the multiplication map has been replaced by a functor. Various v…
math.QA2000
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…
math.QA1998
Higher-Dimensional Algebra IV: 2-Tangles
John C. Baez, Laurel Langford
Just as knots and links can be algebraically described as certain morphisms in the category of tangles in 3 dimensions, compact surfaces smoothly embedded in R^4 can be described a…