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VOLUME 6, ISSUE 3, PAPER 24


Weak omega-categories from intensional type theory

©Peter LeFa Lumsdaine, Carnegie Mellon University

Abstract
We show that for any type in Martin-Löf 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.

Publication date: September 17, 2010

Full Text: PDF | PostScript
DOI: 10.2168/LMCS-6(3:24)2010

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