Handbook of Categorical Algebra

A Handbook Of Categorical Algebra In Three Volumes Is A Detailed Account Of Everything A Mathematician Needs To Know About Category Theory. Each Volume Is Self-Contained And Is Accessible To Graduate Students With A Good Background In Mathematics. Volume 1 Is Devoted To General Concepts. After Introducing The Terminology And Proving The Fundamental Results Concerning Limits Adjoint Functors And Kan Extensions The Categories Of Fractions Are Studied In Detail; Special Consideration Is Paid To The Case Of Localizations. The Remainder Of The First Volume Studies Various Refinements Of The Fundamental Concepts Of Category And Functor.