查看“︁N-範疇”︁的源代码

在[[數學]]中，'''n-範疇'''是[[範疇論|範疇]]在高階情形的推廣。（小）n-範疇組成的範疇 '''n-Cat''' 以下述方式遞迴定義：

* '''0-Cat'''是[[集合範疇]] <math>\mathbf{Set}</math>
* '''(n+1)-範疇'''是全體在 '''n-Cat''' 上[[濃化範疇|濃化]]的範疇組合的範疇，其[[張量範疇]]之結構由合成導出。

特例是[[小範疇]]及其間[[函子]]組成的範疇 '''1-Cat'''。

== 參見 ==
* [[2-範疇]]
* [[弱 n-範疇]]

== 文獻 ==
*{{cite book
 |author      = Tom Leinster
 |year        = 2004
 |title       = Higher Operads, Higher Categories
 |publisher   = Cambridge University Press
 |url         = http://www.maths.gla.ac.uk/~tl/book.html
 |deadurl     = yes
 |archiveurl  = https://web.archive.org/web/20031025120434/http://www.maths.gla.ac.uk/~tl/book.html
 |archivedate = 2003-10-25
 |access-date = 2007-07-17
}}
*{{cite book
 |author      = Eugenia Cheng, Aaron Lauda
 |year        = 2004
 |title       = Higher-Dimensional Categories: an illustrated guide book
 |url         = http://www.math.uchicago.edu/~eugenia/guidebook/guidebook-new.pdf
 |deadurl     = yes
 |archiveurl  = https://web.archive.org/web/20070416204923/http://www.math.uchicago.edu/~eugenia/guidebook/guidebook-new.pdf
 |archivedate = 2007-04-16
 |access-date = 2007-07-17
}}

[[Category:高階範疇論]]