{"product_id":"topology-tai-danae-bradley-9780262539357","title":"Topology: A Categorical Approach","description":"\u003cb\u003eA graduate-level textbook that presents basic topology from the perspective of category theory.\u003c\/b\u003e\u003cp\u003eThis 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. \u003c\/p\u003e\u003cp\u003eAfter presenting the basics of both category theory and topology, the book covers the universal properties of familiar constructions and three main topological properties--connectedness, Hausdorff, and compactness. It presents a fine-grained 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. End-of-chapter 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 point-set topology to graduate student preparing to work on contemporary problems in mathematics.\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Tai-Danae Bradley, Tyler Bryson, John Terilla\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0262539357\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780262539357\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e MIT Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/18\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 166\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.70lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.90h x 6.90w x 0.50d","brand":"Tai-Danae Bradley","offers":[{"title":"Paperback","offer_id":43978551755007,"sku":"9780262539357","price":35.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d527300b-06ad-4ec8-a7b7-8cbfe9648e6a.jpg?v=1683242099","url":"https:\/\/www.whiterainbookhouse.com\/products\/topology-tai-danae-bradley-9780262539357","provider":"WR Book House","version":"1.0","type":"link"}