W-types in Homotopy Type Theory

Published 10 Jul 2013 in math.CT and math.LO | (1307.2765v3)

Abstract: We will give a detailed account of why the simplicial sets model of the univalence axiom due to Voevodsky also models W-types. In addition, we will discuss W-types in categories of simplicial presheaves and an application to models of set theory.

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