Toposes, Triples and Theories
by Michael Barr, Charles Wells
Publisher: Springer-Verlag 2005
Number of pages: 302
As its title suggests, this book is an introduction to three ideas and the connections between them. Chapter 1 is an introduction to category theory which develops the basic constructions in categories needed for the rest of the book. Chapters 2, 3 and 4 introduce each of the three topics of the title and develop them independently up to a certain point. We assume that the reader is familiar with concepts typically developed in first-year graduate courses, such as group, ring, topological space, and so on.
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by Pierre Schapira - UPMC
These notes introduce the language of categories and present the basic notions of homological algebra, first from an elementary point of view, next with a more sophisticated approach, with the introduction of triangulated and derived categories.
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