Categories

From the preface : "The purpose of the present text is therefore quite simple : to provide, at an advanced undergraduate or beginning graduate level, an introductory course that can be covered in a couple of dozen lectures with enough material to provide a good idea of what categories are about and to whet the appetite of those who wish to proceed to the texts that are written by the experts in the field." Contents Preface Chapter 1 - Looking at the woods rather than the trees Exercises Chapter 2- Particular objects and morphisms Exercises Chapter 3- Universal constructions Exercises Chapter 4 - Factorisation of morphisms Exercises Chapter 5 - Structuring the morphism sets Exercises Chapter 6 - Functors Exercises Chapter 7 - Equivalent categories Exercises Chapter 8 - Representable and adjoint functors Exercises Solutions to the Exercises Index