Higher Operads, Higher Categories

Abstract

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.

Book, 410 pages

Cited by in corpus (24)

• A mathematical theory of resources
• A Prehistory of n-Categorical Physics
• Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions
• Towards Unifying Structures in Higher Spin Gauge Symmetry
• Categorical Non-commutative Geometry
• Coherence for Categorified Operadic Theories
• Concrete Duality for Strict Infinity Categories
• Unified Functorial Signal Representation II: Category action, Base Hierarchy, Geometries as Base structured categories
• CaTT contexts are finite computads
• The Web Monoid and Opetopic Sets
• Strict $\infty$-categories. Concrete Duality
• The Categorification of a Symmetric Operad is Independent of Signature
• Curved homotopy coalgebras
• On the notion of pseudocategory internal to a category with a 2-cell structure
• Some remarks on multicategories and additive categories
• Novel Uses of Category Theory in Modeling OOP
• Introduction to Abstract Homotopy Theory
• A sketch for derivators
• What is a monoid?
• Familial Monads as Higher Category Theories
• 2 Category of FRBSU Monoidal Categories and Crossed Modules
• Semidirect Products of Monoidal Categories
• Coherence for Monoidal Endofunctors
• Coherence for Monoidal Monads and Comonads