Categories Work

  • Saunders MacLane,

    Categories for the Working Mathematician

    Graduate texts in mathematics, Springer, 1971

is a classical textbook on category theory. See also

The original edition has the following chapters

  • I. Categories, functors, and natural transformations
  • II. Constructions on categories
  • III. Universals and limits
  • IV. Adjoints
  • V. Limits
  • VI. Monads and algebras
  • VII. Monoids
  • VIII. Abelian categories
  • IX. Special limits
  • X. Kan extensions

The 2nd edition was published in 1997 with two additional chapters:

  • XI. Symmetry and braidings in monoidal categories

  • XII. Structures in categories

Categories Work is the standard reference for category theory, and we may often cite it here. Almost all of its terminology is widely adopted, although its approach to foundations (one Grothendieck universe) is not as widely used (see discussion at nForum).

category: reference

Revised on August 26, 2017 01:45:14 by Ben Greenman (2601:19b:c00:59e0:3073:6c6c:500a:dc34)