TY - BOOK AU - Verity,Dominic TI - Complicial sets characterising the simplical nerves of strict [omega]-categories T2 - Memoirs of the American Mathematical Society, SN - 9781470405113 (online) AV - QA169 .V476 2008 U1 - 512/.62 22 PY - 2008/// CY - Providence, R.I. PB - American Mathematical Society KW - Categories (Mathematics) KW - Algebraic topology N1 - "May 2008, volume 193, number 905 (end of volume)."; Includes bibliographical references (p. 173-174) and indexes; 1. Simplicial operators and simplicial sets; 2. A little categorical background; 3. Double categories, 2-categories and $n$-categories; 4. An introduction to the decalage construction; 5. Stratifications and filterings of simplicial sets; 6. Pre-complicial sets; 7. Complicial sets; 8. The path category construction; 9. Complicial decalage constructions; 10. Street's $\omega $-categorical nerve construction; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0905 UR - http://dx.doi.org/10.1090/memo/0905 ER -