Basic Category Theory - Grand Format

Edition en anglais

Tom Leinster

Note moyenne 
At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory... Lire la suite
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Résumé

At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties : via adjoint functors, representable functors and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study.
Assuming relatively little mathematical background, it is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations.
Copious exercises are included.

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Biographie de Tom Leinster

Cambridge Studies in Advanced Mathematics Editorial board : Béla Bollobás, University of Memphis ; William Fulton, University of Michigan ; Anatole Katok, Pennsylvania State University ; Frances Kirwan, University of Oxford ; Peter Sarnak, Princeton University ; Barry Simon, California Institute of Technology ; Burl Totaro, University of Cambridge.

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