By Saunders Mac Lane

An array of common principles worthy in a large choice of fields. ranging from the rules, this ebook illuminates the strategies of class, functor, normal transformation, and duality. It then turns to adjoint functors, which offer an outline of common buildings, an research of the representations of functors via units of morphisms, and a method of manipulating direct and inverse limits. those express strategies are broadly illustrated within the last chapters, which come with many functions of the fundamental life theorem for adjoint functors. the types of algebraic platforms are comprised of yes adjoint-like information and characterized by way of Beck's theorem. After contemplating quite a few functions, the ebook maintains with the development and exploitation of Kan extensions. This moment version features a variety of revisions and additions, together with new chapters on themes of lively curiosity: symmetric monoidal different types and braided monoidal different types, and the coherence theorems for them, in addition to 2-categories and the better dimensional different types that have lately come into prominence.

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