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arXiv · 0812.0409

Weak omega-categories from intensional type theory

Peter LeFanu Lumsdaine
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Abstract

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.

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Peter LeFanu Lumsdaine. 2008-12-02. Weak omega-categories from intensional type theory. https://doi.org/10.2168/lmcs-6(3:24)2010

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