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 Maarten M. Fokkinga - University of Twente
These notes present the important notions from category theory. The intention is to provide a fairly good skill in manipulating with those concepts formally. This text introduces category theory in the calculational style of the proofs.
by Takahiro Kato - viXra.org
Modules and morphisms among them subsume categories and functors and provide more general framework to explore the theory of structures. In this book we generalize the basic notions and results of category theory using this framework of modules.
by Michael Barr, Charles Wells - Prentice Hall
This book is a textbook in basic category theory, written specifically to be read by researchers and students in computing science. We expound the constructions basic to category theory in the context of applications to computing science.
by Brendan Fong, David I Spivak - arXiv.org
This book is an invitation to discover advanced topics in category theory through concrete, real-world examples. The tour takes place over seven sketches, such as databases, electric circuits, etc, with the exploration of a categorical structure.