Basic category theory

著者

• Leinster, Tom

書誌事項

Basic category theory

Tom Leinster

（Cambridge studies in advanced mathematics, 143）

Cambridge University Press, 2014

• : hardback

注記

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

内容説明・目次

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB16182757
• ISBN:
  • 9781107044241
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: viii, 183 p.
• 大きさ: 24 cm
• 親書誌ID:
  • BA00109761