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W-types in homotopy type theory

Published online by Cambridge University Press:  24 November 2014

BENNO VAN DEN BERG  and
IEKE MOERDIJK
BENNO VAN DEN BERG
Affiliation:
ILLC, Universiteit van Amsterdam, P.O. Box 94242, 1090 GE Amsterdam, the Netherlands Email: bennovdberg@gmail.com
IEKE MOERDIJK
Affiliation:
Radboud Universiteit Nijmegen, Institute for Mathematics, Astrophysics, and Particle Physics, Heyendaalseweg 135, 6525 AJ Nijmegen, the Netherlands Email: i.moerdijk@math.ru.nl.
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Abstract

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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.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 25 , Special Issue 5: From type theory and homotopy theory to Univalent Foundations of Mathematics , June 2015 , pp. 1100 - 1115
Copyright
Copyright © Cambridge University Press 2014 

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