An Introduction to n-Categories
View PDF Abstract: An n-category is some sort of algebraic structure consisting of objects, morphisms between objects, 2-morphisms between morphisms, and so on up to n-morphisms, together with various ways of composing them. We survey various concepts of n-category, with an emphasis on `weak' n-categories, in which all rules governing the composition of j-morphisms hold only up to equivalence. (An
The n-Category Café
Recent Entries Axiomatic Set Theory 9: The Axiom of Choice Nov 15, 2024 The penultimate week of this axiomatic set theory course, based on Lawvere’s Elementary Theory of the Category of Sets. Axiomatic Set Theory 8: Well Ordered Sets Nov 8, 2024 Our ETCS-based but category-free course now reaches the theory of ordinals, a.k.a. well ordered sets. The Icosahedron as a Thurston Polyhedron Nov 5, 2024
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