{"product_id":"topology-9780470096055","title":"Topology","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe essentials of point-set topology, complete with motivation and numerous examples  \u003cp\u003eTopology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students to develop more sophisticated intuition and enabling them to learn how to write precise proofs in a brand-new context, which is an invaluable experience for math majors.\u003c\/p\u003e \u003cp\u003eAlong with the standard point-set topology topicsconnected and path-connected spaces, compact spaces, separation axioms, and metric spacesTopology covers the construction of spaces from other spaces, including products and quotient spaces. This innovative text culminates with topics from geometric and algebraic topology (the Classification Theorem for Surfaces and the fundamental group), which provide instructors with the opportunity to choose which capstone\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Ideally suited for an introductory course in topology at the junior\/senior level.\" (\u003ci\u003eCHOICE\u003c\/i\u003e, September 2007)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword.  \u003c\/p\u003e\u003cp\u003eAcknowledgments.\u003c\/p\u003e \u003cp\u003e1. Introduction: Intuitive Topology.\u003c\/p\u003e \u003cp\u003e2. Background on Sets and Functions.\u003c\/p\u003e \u003cp\u003e3. Topological Spaces.\u003c\/p\u003e \u003cp\u003e4. More on Open and Closed Sets and Continuous Functions.\u003c\/p\u003e \u003cp\u003e5. New Spaces from Old.\u003c\/p\u003e \u003cp\u003e6. Connected Spaces.\u003c\/p\u003e \u003cp\u003e7. Compact Spaces.\u003c\/p\u003e \u003cp\u003e8. Separation Axioms.\u003c\/p\u003e \u003cp\u003e9. Metric Spaces.\u003c\/p\u003e \u003cp\u003e10. The Classification of Surfaces.\u003c\/p\u003e \u003cp\u003e11. Fundamental Groups and Covering Spaces.\u003c\/p\u003e \u003cp\u003eReferences.\u003c\/p\u003e \u003cp\u003eIndex. \u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402285850967,"sku":"9780470096055","price":116.96,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470096055.jpg?v=1730479947","url":"https:\/\/bookcurl.com\/products\/topology-9780470096055","provider":"Book Curl","version":"1.0","type":"link"}