Weak omega-categories from intensional type theory

Details Weak omega-categories from intensional type theory Weak omega-categories from intensional type theory

2008-12-02

arxiv.org/abs/0812.0409v4

LMCS 6 (3:24) 2010

Mathematics

Logic

Scientific paper

10.2168/LMCS-6(3:24)2010

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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