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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Gregory Maxwell (Max) Kelly, 1930-2007, mathematician, founded the thriving Australian school of category theory.A native of Australia, Kelly obtained his Ph.D. at Cambridge University in homological algebra in 1957, publishing his first paper in that area in 1959, Single-space axioms for homology theory. He taught in the Pure Mathematics department at Sydney University from 1957 to 1966, rising from lecturer to reader. During 1963-1965 he was a visiting fellow at Tulane University and the University of Illinois, where with Samuel Eilenberg he formalized and developed the notion of an enriched category based on intuitions then in the air about making the homsets of a category just as abstract as the objects themselves.He subsequently developed the notion in considerably more detail in his 1981 monograph Basic Concepts of Enriched Category Theory. Let V be a monoidal category, and denote by V-Cat the category of V-enriched categories.