Complicial Sets Characterising The Simplicial Nerves Of Strict Omega Categories
( from 245 reviews )-
Author
Dominic Verity -
Publisher
American Mathematical Soc -
Publication date
19 August 2022
UNLIMITED BOOKS, ALL IN ONE PLACE. FREE TO TRY 30 DAYS. SUBSCRIBE TO READ OR DOWNLOAD EBOOK FOR FREE. START YOUR FREE MONTH NOW!
eBook includes PDF, ePub, Mobi, Tuebl and Kindle version
FREE registration for 1 month TRIAL Account. DOWNLOAD as many books as you like (Personal use). CANCEL the membership at ANY TIME if not satisfied. Join Over 550.000 Happy Readers.
All secure, we guaranted 100% privacy and your information is safe
Recent Activity Loading...
Loading ...
Loading...
Book Detail
-
Book Title
Complicial Sets Characterising The Simplicial Nerves Of Strict Omega Categories
-
Author
Dominic Verity
-
Date Published
19 August 2022
-
Publisher
American Mathematical Soc
-
Pages
184 pages
-
ISBN
9780821841426
Book Description
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). On the way the author substantially develops Roberts' theory of complicial sets itself and makes contributions to Street's theory of parity complexes. In particular, he studies a new monoidal closed structure on the category of complicial sets which he shows to be the appropriate generalisation of the (lax) Gray tensor product of 2-categories to this context. Under Street's $\omega$-categorical nerve construction, which the author shows to be an equivalence, this tensor product coincides with those of Steiner, Crans and others.
1108 Members Online