Basic Category Theory (Tom Leinster)

 
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Basic Category Theory (Tom Leinster)

This concise introduction to category theory is perfect for beginning graduate students or advanced undergraduates learning the subject for the first time because it makes a few mathematical assumptions.

It provides in-depth explanations of the essential topics together with numerous examples and activities, making it appropriate for personal study or as a course book.

This brief introduction to category theory centers on the notion of a universal quality, which is crucial in all of mathematics. Following a basic definitions chapter, three distinct chapters describe how to express universal qualities using adjoint functors, representable functors, and limits. All three chapters are connected by a concluding one.

The book is appropriate for independent study or use in classes. It is perfect for beginning graduate students or advanced undergraduates learning category theory for the first time because it makes relatively few mathematical assumptions.

An abundance of examples drawn from various areas of mathematics is offered for each new category idea. The reader will find thorough explanations in places when the abstraction jump is especially large (like the Yoneda lemma). There are many exercises included.

Ebook Details

Author(s)
About the Authors
Tom Leinster has worked as a postdoctoral researcher at Cambridge, the Institut des Hautes Études Scientifiques (France), and the University of Glasgow. He has also held an EPSRC Advanced Research Fellowship there. He is presently an Edinburgh University Chancellor's Fellow.
Published
Published Date / Year
1 edition (September 22, 2014); eBook (arxiv.org)
License(s)
arXiv License
Hardcover
190 pages
eBook Format
PDF
Language
English
ISBN-10
1107044243
ISBN-13
978-1107044241

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