Introduction to Homotopy Type Theory by Egbert Rijke

Introduction to Homotopy Type Theory by Egbert Rijke

This up-to-date introduction to type theory and homotopy type theory will be essential reading for advanced undergraduate and graduate students interested in the foundations and formalization of mathematics. The book begins with a thorough and self-contained introduction to dependent type theory. No prior knowledge of type theory is required. The second part gradually introduces the key concepts of homotopy type theory: equivalences, the fundamental theorem of identity types, truncation levels, and the univalence axiom. This prepares the reader to study a variety of subjects from a univalent point of view, including sets, groups, combinatorics, and well-founded trees. The final part introduces the idea of higher inductive type by discussing the circle and its universal cover. Each part is structured into bite-size chapters, each the length of a lecture, and over 200 exercises provide ample practice material.

Egbert Rijke is Postdoctoral Research Fellow at John Hopkins University and is a pioneering figure in homotopy type theory. As one of the co-authors of the influential book 'Homotopy Type Theory: Univalent Foundations for Mathematics' (2013), he has played a pivotal role in shaping the field. He is also a founder and lead developer of the agda-unimath library, which stands as the largest library of formalized mathematics written in the Agda proof assistant.

SKU	Unavailable
ISBN 13	9781108844161
ISBN 10	1108844162
Title	Introduction to Homotopy Type Theory
Author	Egbert Rijke
Series	Cambridge Studies In Advanced Mathematics
Condition	Unavailable
Publisher	Cambridge University Press
Year published	2025-08-31
Number of pages	383
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.