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- Title Topology: A Categorical Approach
- Author(s) Tai-Danae Bradley, Tyler Bryson and John Terilla
- Publisher: The MIT Press (August 18, 2020); eBook (Creative Commons Edition)
- License(s): CC BY-NC-ND
- Paperback 166 pages
- eBook PDF Files
- Language: English
- ISBN-10: 0262539357
- ISBN-13: 978-0262539357
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A graduate-level textbook that presents basic topology from the perspective of category theory.
This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them.
Teaching the subject using category theory - a contemporary branch of mathematics that provides a way to represent abstract concepts - both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.
The book expertly guides students of topology through the important transition from undergraduate student with a solid background in analysis or point-set topology to graduate student preparing to work on contemporary problems in mathematics.
About the Authors- Tai-Danae Bradley is a PhD candidate in mathematics at the CUNY Graduate Center and the creator of the popular math blog, Math3ma.
- Tyler Bryson is a PhD candidate in mathematics at the CUNY Graduate Center.
- John Terilla is Professor of Mathematics at Queens College and on the Doctoral Faculty at the CUNY Graduate Center.
- Geometry and Topology
- Category Theory
- Calculus and Mathematical Analysis (Real Analysis, Functional Analysis, etc.)
- Algebra, Abstract Algebra, and Linear Algebra, etc.

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