Basic category theory

Author(s)

• Leinster, Tom

Bibliographic Information

Basic category theory

Tom Leinster

（Cambridge studies in advanced mathematics, 143）

Cambridge University Press, 2014

• : hardback

Note

Includes bibliographical references (p. 174-176) and indexes

Description and Table of Contents

Description

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.

Table of Contents

• Note to the reader
• Introduction
• 1. Categories, functors and natural transformations
• 2. Adjoints
• 3. Interlude on sets
• 4. Representables
• 5. Limits
• 6. Adjoints, representables and limits
• Appendix: proof of the General Adjoint Functor Theorem
• Glossary of notation
• Further reading
• Index.

by "Nielsen BookData"

Details

• NCID: BB16182757
• ISBN:
  • 9781107044241
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge
• Pages/Volumes: viii, 183 p.
• Size: 24 cm
• Parent Bibliography ID:
  • BA00109761