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Look Inside Basic Category Theory
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Basic Category Theory

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: July 2014
  • availability: Available
  • format: Hardback
  • isbn: 9781107044241

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  • 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.

    • Quickly arrives at the most important concepts
    • Assumes less background than most introductions to the subject
    • Derived from the author's own experience teaching the subject at Master's level
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    Product details

    • Date Published: July 2014
    • format: Hardback
    • isbn: 9781107044241
    • length: 190 pages
    • dimensions: 235 x 156 x 15 mm
    • weight: 0.4kg
    • contains: 100 exercises
    • availability: Available
  • 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.

  • Resources for

    Basic Category Theory

    Tom Leinster

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  • Author

    Tom Leinster, University of Edinburgh
    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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