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The univalence axiom for elegant Reedy presheaves

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(2013)cite http://arxiv.org/abs/1307.6248arxiv:1307.6248Comment: 21 pages.

Abstract

We show that Voevodsky's univalence axiom for intensional type theory is valid in categories of simplicial presheaves on elegant Reedy categories. In addition to diagrams on inverse categories, as considered in previous work of the author, this includes bisimplicial sets and Theta-spaces.

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