Title
Topology: A Categorical Approach,New
Sold by Ergodebooks, an authorized reseller.
Returns accepted within 30 days | support@ergodebooks.com
Shipping Information
- Free Standard Shipping — United States only
- Processing Time: 1–3 business days
- Estimated Delivery: 3–5 business days after dispatch
- Double-boxed, fully insured & discreetly packaged
- Tracking number sent via email once dispatched
- Orders over $250 require signature upon delivery. Taxes calculated at checkout.
Returns & Refund
Returns accepted within 30 days of delivery.
Damaged or Defective Item
Free return shipping + replacement or full refund
Wrong Item Received
Free return shipping + replacement or full refund
Change of Mind
Return shipping at customer's expense · 25% restocking fee applies
Payment Option
A graduatelevel textbook that presents basic topology from the perspective of category theory.This graduatelevel textbook on topology takes a unique approach: it reintroduces basic, pointset topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of pointset topology and they are ready to learn something new about them. Teaching the subject using category theorya contemporary branch of mathematics that provides a way to represent abstract conceptsboth deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.After presenting the basics of both category theory and topology, the book covers the universal properties of familiar constructions and three main topological propertiesconnectedness, Hausdorff, and compactness. It presents a finegrained approach to convergence of sequences and filters; explores categorical limits and colimits, with examples; looks in detail at adjunctions in topology, particularly in mapping spaces; and examines additional adjunctions, presenting ideas from homotopy theory, the fundamental groupoid, and the Seifert van Kampen theorem. Endofchapter exercises allow students to apply what they have learned. The book expertly guides students of topology through the important transition from undergraduate student with a solid background in analysis or pointset topology to graduate student preparing to work on contemporary problems in mathematics.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
For more information, please visit www.P65Warnings.ca.gov.
- Q: What is the main focus of 'Topology: A Categorical Approach'? A: The book presents basic topology from the perspective of category theory, offering a modern approach that deepens understanding of elementary topology.
- Q: Who is the author of this textbook? A: 'Topology: A Categorical Approach' is authored by Tai-Danae Bradley.
- Q: What topics are covered in the book? A: The book covers universal properties of constructions, topological properties like connectedness and compactness, convergence of sequences, categorical limits and colimits, and adjunctions in topology.
- Q: What is the target audience for this textbook? A: This textbook is aimed at graduate students who have a solid background in analysis or point-set topology and are transitioning to advanced topics in mathematics.
- Q: How many pages does the book contain? A: The book consists of 166 pages.
- Q: What is the binding type of this textbook? A: 'Topology: A Categorical Approach' is available in paperback binding.
- Q: When was the book published? A: The book was published on August 18, 2020.
- Q: Are there exercises included in the book? A: Yes, the book includes end-of-chapter exercises that allow students to apply what they have learned.
- Q: Does this book introduce new concepts in topology? A: Yes, it reintroduces familiar concepts from a categorical perspective, presenting them in a way that prepares students for contemporary mathematical problems.
- Q: Is prior knowledge of category theory required to understand the book? A: While the book introduces category theory, it is beneficial for readers to have a basic understanding of both category theory and point-set topology.