This material has been published by Cambridge University Press as Categorical Homotopy Theory by Emily Riehl. This version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works. © Emily Riehl 2014.
This material has been / will be published by Cambridge University Press as Elements of ∞-Category Theory by Emily Riehl and Dominic Verity. This pre-publication version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works. © Emily Riehl and Dominic Verity 2018-2021.
I am grateful to them for a special arrangement that also allows me to host a free PDF copy with the preceding disclaimer. More information can be found on the book website.
The original draft, which is no longer actively being edited, contained several additional chapters, which will re-appear later in a separate volume. Warning: improvements made to the primary text have not been propagated to this volume.
The 2018 MIT Talbot workshop was on the same topic and various additional resources can be found on the conference website.