Categories for the Working Mathematician (Graduate Texts in by Saunders Mac Lane PDF

By Saunders Mac Lane

An array of basic rules helpful in a large choice of fields. ranging from the principles, this ebook illuminates the suggestions of type, functor, common transformation, and duality. It then turns to adjoint functors, which supply an outline of common structures, an research of the representations of functors through units of morphisms, and a method of manipulating direct and inverse limits. those express strategies are greatly illustrated within the final chapters, which come with many functions of the fundamental life theorem for adjoint functors. the kinds of algebraic platforms are produced from definite adjoint-like info and characterized through Beck's theorem. After contemplating quite a few functions, the e-book keeps with the development and exploitation of Kan extensions. This moment version encompasses a variety of revisions and additions, together with new chapters on subject matters 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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Categories for the Working Mathematician (Graduate Texts in Mathematics) by Saunders Mac Lane

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