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Basic Category Theory

  • Book
  • May 19, 2014
  • #Math
Tom Leinster
@TomLeinster
(Author)
www.goodreads.com
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4.54/5 24 ratings
1 Recommender
1 Mention
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 defi... Show More

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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Number of Pages: 190

ISBN: 1107044243

ISBN-13: 9781107044241

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John Carlos Baez @johncarlosbaez ยท Jul 31, 2022
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I recommend first Tom Leinster's textbook and then Emily Riehl's textbook on category theory - or maybe both simultaneously. They're both free! Check out the very bottom of my book recommendation page:
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