Cargando…

Coherence for tricategories /

Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretical physicists, al...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gordon, Robert, 1935-
Otros Autores: Power, A. J. (Anthony John), 1959-, Street, Ross, 1945-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, ©1995.
Colección:Memoirs of the American Mathematical Society ; no. 558.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction 2. The definition of tricategory 3. Trihomomorphisms, triequivalence, and $\mathbf {Tricat}(T, S)$ 4. Cubical functors and tricategories, and the monoidal category Gray 5. Gray-categories, and Bicat as a tricategory 6. The Gray-category $\mathbf {Prep}(T)$ of prerepresentations of $T$ 7. The "Yoneda embedding" 8. The main theorem.