Categorical Homotopy Theory

Lecture notes from a graduate topics topics course, entitled Categorical Homotopy Theory, taught in the Spring of 2012 at Harvard, were published in May 2014 by Cambridge University Press.

Thanks to a special arrangement with Cambridge University Press, I am also able to host a free PDF copy, which can be found here. 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.


A brief description of the contents can be found here.


I'm grateful to those who have written to point out the following mistakes. Please get in touch if you think you may have found another error. The page numbers refer to the published version.


This brief survey of categorical concepts intends to convey the philosophy and terminology of category theory by exploring its implications in elementary examples.



My contact info can be found on my personal website.