nLab Abstract and Concrete Categories

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This page collects links related to the book

on category theory

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. 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 October 19, 2022 at 11:22:05. See the history of this page for a list of all contributions to it.