2003/05/02 by Tom Leinster, Leinster, Tom · 16 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Rings, Modules, and Algebras #math.AG #math.AT #math.CT #math.QA
paper · pdf · doi:10.48550/arxiv.math/0305049
Book, 410 pages
arxiv created 2003/05/02 · openalex publication_date 2003/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from areas as diverse as topology, quantum algebra, mathematical physics, logic, and theoretical computer science. This is the first book on the subject and lays its foundations. Many examples are given throughout. There is also an introductory chapter motivating the subject for topologists.