nLab Abstract and Concrete Categories

This page is to record the reference

• Jiří Adámek, Horst Herrlich, George Strecker:

  
  

  Abstract and Concrete Categories – The Joy of Cats

  
  

  John Wiley and Sons, New York (1990)

  reprinted as:

  Reprints in Theory and Applications of Categories 17 (2006) 1-507

  tac:tr17

  book webpage, pdf

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