Lumsdaine, Peter LeFanu - Weak omega-categories from intensional type theory

lmcs:1062 - Logical Methods in Computer Science, September 17, 2010, Volume 6, Issue 3
Weak omega-categories from intensional type theory

Authors: Lumsdaine, Peter LeFanu

We show that for any type in Martin-L\"of Intensional Type Theory, the terms of that type and its higher identity types form a weak omega-category in the sense of Leinster. Precisely, we construct a contractible globular operad of definable composition laws, and give an action of this operad on the terms of any type and its identity types.


Source : oai:arXiv.org:0812.0409
DOI : 10.2168/LMCS-6(3:24)2010
Volume: Volume 6, Issue 3
Published on: September 17, 2010
Submitted on: June 25, 2015
Keywords: Mathematics - Logic,Mathematics - Category Theory,math.CT


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