Theory of categories, Volume 17 (Pure and Applied Mathematics)

Theory of Categories. Author: Barry Mitchell. Academic Press 1965. A number of sophisticated people tend to disparage category theory as consistently as others disparage certain kinds of classical music. For this reason, the author adds to the usual prerequisite that the reader have a fair amount of mathematical sophistication. Applications of Adjoint Functors, Extensions, Satellites, Global Dimension, Sheaves. Category theory has provided the foundations for many of the twentieth century's greatest advances in pure mathematics. It introduces the essential concepts of category theory: categories, functors, natural transformations, limits and colimits, adjunctions, and other topics. The categorical perspective provides tools for understanding and attacking difficult problems in algebra, number theory, algebraic geometry, and algebraic topology