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Basic Category Theory

  • Category: Computer
  • Author: Tom Leinster
  • Pages: 190 pages
  • File type: PDF

Read and download free eBook intituled Basic Category Theory in format PDF – 190 pages created by Tom Leinster.

Assuming little mathematical background, this short introduction to Category Theory is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. Suitable for independent study or as a course book, it gives extensive explanations of the key concepts along with hundreds of examples and exercises.

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.

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Basic Category Theory

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