• Title Topology: A Categorical Approach
• Author(s) Tai-Danae Bradley, Tyler Bryson and John Terilla
• Publisher: The MIT Press (August 18, 2020)
• License(s): CC BY 4.0
• 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.

• 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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• Geometry and Topology
• Category Theory
• Calculus and Mathematical Analysis (Real Analysis, Functional Analysis, etc.)
• Algebra, Abstract Algebra, and Linear Algebra, etc.

• Topology: A Categorical Approach (Tai-Danae Bradley, et al)
• Book Homepage

• Higher Topos Theory (Jacob Lurie)
• Categorical Homotopy Theory (Emily Riehl)
• Algebraic Topology (Allen Hatcher)
• Classical Algebraic Geometry: A Modern View (Igor V. Dolgachev)