Abstract and Concrete Categories: The Joy of Cats (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
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Abstract and Concrete Categories: The Joy of Cats (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
A modern introduction to the theory of structures via the language of category theory. Unique to this book is the emphasis on concrete categories. Also noteworthy is the systematic treatment of factorization structures, which gives a new, unifying perspective to earlier work and summarizes recent developments. Each categorical notion is accompanied by many examples, usually moving from special cases to more general cases. Comprises seven chapters; the first five present the basic theory, while the last two contain more recent research results in the realm of concrete categories, cartesian closed categories and quasitopoi. The prerequisite is an elementary knowledge of set theory. Contains exercises.
