Higher operads, higher categories
Categories (Mathematics) Operads e-böcker
Cambridge University Press
2004
EISBN 9781107369511
Background: Classical categorical structures.
Classical operads and multicategories.
Notions of monoidal category.
Operads. Generalized operads and multicategories: basics.
Example: fc-multicategories.
Generalized operads and multicategories: further theory.
Opetopes.
n-categories: Globular operads.
A definition of weak n-category.
Other definitions of weak n-category.
Appendices: A. Symmetric structures.
B. Coherence for monoidal categories.
C. Special Cartesian monads.
D. Free multicategories.
E. Definitions of trees.
F. Free strict n-categories.
G. Initial operad-with-contraction.
Classical operads and multicategories.
Notions of monoidal category.
Operads. Generalized operads and multicategories: basics.
Example: fc-multicategories.
Generalized operads and multicategories: further theory.
Opetopes.
n-categories: Globular operads.
A definition of weak n-category.
Other definitions of weak n-category.
Appendices: A. Symmetric structures.
B. Coherence for monoidal categories.
C. Special Cartesian monads.
D. Free multicategories.
E. Definitions of trees.
F. Free strict n-categories.
G. Initial operad-with-contraction.
