nLab Abstract and Concrete Categories

Redirected from "The Joy of Cats".

This page is to record the reference

on category theory with emphasis on concrete categories.

Originally published in the series

  • Pure and Applied Mathematics. A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1990. xiv+482 pp. ISBN: 0-471-60922-6

Online edition appeared in 2004:

  • Reprints in Theory and Applications of Categories, No. 17 (2006), 1–507. abstract, pdf.

Beware that the book uses the term “quasicategory” for what Categories for the Working Mathematician calls a metacategory: a model (in the informal sense) of the first-order theory of a category, with no regard for size issues. But these days a quasicategory is mostly understood to be a particular type of simplicial set that models an (∞,1)-category.

category: reference

Last revised on May 3, 2025 at 10:56:25. See the history of this page for a list of all contributions to it.