{"product_id":"a-first-course-in-algebraic-topology-paperback-9780521298643","title":"A First Course in Algebraic Topology (Paperback) 9780521298643","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA First Course in Algebraic Topology\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis self-contained introduction to algebraic topology is suitable for a number of topology courses.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eCzes Kosniowski (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521298643, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 25 September 1980\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e280 pages\u003cbr\u003e22.9 x 15.2 x 1.6 cm, 0.41 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis self-contained introduction to algebraic topology is suitable for a number of topology courses. It consists of about one quarter 'general topology' (without its usual pathologies) and three quarters 'algebraic topology' (centred around the fundamental group, a readily grasped topic which gives a good idea of what algebraic topology is). The book has emerged from courses given at the University of Newcastle-upon-Tyne to senior undergraduates and beginning postgraduates. It has been written at a level which will enable the reader to use it for self-study as well as a course book. The approach is leisurely and a geometric flavour is evident throughout. The many illustrations and over 350 exercises will prove invaluable as a teaching aid. This account will be welcomed by advanced students of pure mathematics at colleges and universities.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Sets and groups\u003cbr\u003e 1. Background: metric spaces\u003cbr\u003e 2. Topological spaces\u003cbr\u003e 3. Continuous functions\u003cbr\u003e 4. Induced topology\u003cbr\u003e 5. Quotient topology (and groups acting on spaces)\u003cbr\u003e 6. Product spaces\u003cbr\u003e 7. Compact spaces\u003cbr\u003e 8. Hausdorff spaces\u003cbr\u003e 9. Connected spaces\u003cbr\u003e 10. The pancake problems\u003cbr\u003e 11. Manifolds and surfaces\u003cbr\u003e 12. Paths and path connected spaces\u003cbr\u003e 12A. The Jordan curve theorem\u003cbr\u003e 13. Homotopy of continuous mappings\u003cbr\u003e 14. 'Multiplication' of paths\u003cbr\u003e 15. The fundamental group\u003cbr\u003e 16. The fundamental group of a circle\u003cbr\u003e 17. Covering spaces\u003cbr\u003e 18. The fundamental group of a covering space\u003cbr\u003e 19. The fundamental group of an orbit space\u003cbr\u003e 20. The Borsuk-Ulam and ham-sandwhich theorems\u003cbr\u003e 21. More on covering spaces: lifting theorems\u003cbr\u003e 22. More on covering spaces: existence theorems\u003cbr\u003e 23. The Seifert_Van Kampen theorem: I Generators\u003cbr\u003e 24. The Seifert_Van Kampen theorem: II Relations\u003cbr\u003e 25. The Seifert_Van Kampen theorem: III Calculations\u003cbr\u003e 26. The fundamental group of a surface\u003cbr\u003e 27. Knots: I Background and torus knots\u003cbr\u003e 27. Knots : II Tame knots\u003cbr\u003e 28A. Table of Knots\u003cbr\u003e 29. Singular homology:  an introduction\u003cbr\u003e 30. Suggestions for further reading\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003349455128,"sku":"9780521298643","price":42.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521298643i_30b0837a-81ba-49c2-9fd5-72e973cb2c2d.jpg?v=1691374922","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-first-course-in-algebraic-topology-paperback-9780521298643","provider":"Freshly Printed Books","version":"1.0","type":"link"}