Tom Leinster is a mathematician at the University of Edinburgh.
Rethinking set theory, e-print arXiv:1212.6543 [math.LO], 2012; see also discussion on nCafé
This is an expository article for a general mathematical readership. It describes ETCS, but without assuming any knowledge of category theory or ever defining a category.
A survey of definitions of n-category, e-print math.CT/0107188, 2001; also Theory and Applications of Categories 10 (2002), no. 1, 1–70.
An informal introduction to topos theory, Publications of the nLab vol. 1 no. 1 (2011).
At https://ncatlab.org/publications/published/Leinster2011 , but as of 2022 the live version is not entirely readable: the diagrams and some other typesetting are broken.
A readable version (give the scripts a few seconds to load after opening the page) can be found in the Internet Archive.
On commutativity of limits with colimits:
On Isbell duality and reflexive completion:
Basic Category Theory, 2014
Short description from author’s web page for book:
Basic Category Theory is an introductory category theory textbook. Features:
It doesn’t assume much, either in terms of background or mathematical maturity.
It sticks to the basics.
It’s short.
Advanced topics are omitted, leaving more space for careful explanations of the core concepts. I have used versions of this text to teach final-year undergraduate and master’s-level courses at the Universities of Glasgow and Edinburgh.
Tom Leinster, Higher operads, higher categories, London Math. Soc. Lec. Note Series 298, Cambridge University Press (2004) [math.CT/0305049, doi:10.1017/CBO9780511525896]
Entropy and Diversity: The Axiomatic Approach, Cambridge UP, 2021
Last revised on September 16, 2023 at 12:31:57. See the history of this page for a list of all contributions to it.