Basic Category Theory
eBook - PDF

Basic Category Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Basic Category Theory

About this book

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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Yes, you can access Basic Category Theory by Tom Leinster in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title
  5. Copyright
  6. Contents
  7. Note to the reader
  8. Introduction
  9. 1 Categories, functors and natural transformations
  10. 2 Adjoints
  11. 3 Interlude on sets
  12. 4 Representables
  13. 5 Limits
  14. 6 Adjoints, representables and limits
  15. Appendix Proof of the general adjoint functor theorem
  16. Further reading
  17. Index of notation
  18. Index