Complicial Sets Characterising the Simplicial Nerves of Strict omega-Categories

Couverture
American Mathematical Soc., 2008 - 184 pages
0 Avis
The primary purpose of this work is to characterise strict $\omega$-categories as simplicial sets with structure. The author proves the Street-Roberts conjecture in the form formulated by Ross Street in his work on Orientals, which states that they are exactly the ""complicial sets"" defined and named by John Roberts in his handwritten notes of that title (circa 1978).
 

Avis des internautes - Rédiger un commentaire

Aucun commentaire n'a été trouvé aux emplacements habituels.

Table des matières

Chapter 1 Simplicial Operators and Simplicial Sets
1
Chapter 2 A Little Categorical Background
21
Chapter 3 Double Categories 2Categories and nCategories
33
Chapter 4 An Introduction to the Decalage Construction
47
Chapter 5 Stratifications and Filterings of Simplicial Sets
55
Chapter 6 PreComplicial Sets
65
Chapter 7 Complicial Sets
85
Chapter 8 The Path Category Construction
105
Chapter 9 Complicial Decalage Constructions
115
Chapter 10 Streets ωCategorical Nerve Construction
133
Bibliography
173
Droits d'auteur

Autres éditions - Tout afficher

Expressions et termes fréquents

Informations bibliographiques