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Home > Mathematics and Science Textbooks > Mathematics > Groups and group theory > Basic Category Theory: (Series Number 143 Cambridge Studies in Advanced Mathematics)
Basic Category Theory: (Series Number 143 Cambridge Studies in Advanced Mathematics)

Basic Category Theory: (Series Number 143 Cambridge Studies in Advanced Mathematics)


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About the 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.

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.

About the Author :
Tom Leinster has held postdoctoral positions at Cambridge and the Institut des Hautes Études Scientifiques (France), and held an EPSRC Advanced Research Fellowship at the University of Glasgow. He is currently a Chancellor's Fellow at the University of Edinburgh. He is also the author of Higher Operads, Higher Categories (Cambridge University Press, 2004), and one of the hosts of the research blog, The n-Category Café.


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Product Details
  • ISBN-13: 9781107044241
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 235 mm
  • No of Pages: 190
  • Returnable: N
  • Series Title: Series Number 143 Cambridge Studies in Advanced Mathematics
  • Weight: 503 gr
  • ISBN-10: 1107044243
  • Publisher Date: 24 Jul 2014
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Spine Width: 15 mm
  • Width: 156 mm


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Basic Category Theory: (Series Number 143 Cambridge Studies in Advanced Mathematics)
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