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Introduction – from type theory and homotopy theory to univalent foundations

Published online by Cambridge University Press:  10 March 2015

STEVE AWODEY ,
NICOLA GAMBINO  and
ERIK PALMGREN
STEVE AWODEY
Affiliation:
Departments of Philosophy and Mathematics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, U.S.A. Email: awodey@cmu.edu
NICOLA GAMBINO
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT, U.K. Email: n.gambino@leeds.ac.uk
ERIK PALMGREN
Affiliation:
Department of Mathematics, Stockholm University, SE - 106 91 Stockholm, Sweden Email: palmgren@math.su.se
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Abstract

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We give an overview of the main ideas involved in the development of homotopy type theory and the univalent foundations of Mathematics programme. This serves as a background for the research papers published in the special issue.

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