The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, categor

The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in t

A short introduction ideal for students learning category theory for the first time.

The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open pro