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Topology: A Categorical Approach
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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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Book Description

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.
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