{"product_id":"the-topology-of-stiefel-manifolds-paperback-9780521213349","title":"The Topology of Stiefel Manifolds (Paperback) 9780521213349","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Topology of Stiefel Manifolds\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eStiefel manifolds are an interesting family of spaces much studied by algebraic topologists.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eI. M. James (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521213349, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 6 January 1977\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e180 pages\u003cbr\u003e22.9 x 15.2 x 1.1 cm, 0.265 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\"\u003eStiefel manifolds are an interesting family of spaces much studied by algebraic topologists. These notes, which originated in a course given at Harvard University, describe the state of knowledge of the subject, as well as the outstanding problems. The emphasis throughout is on applications (within the subject) rather than on theory. However, such theory as is required is summarized and references to the literature are given, thus making the book accessible to non-specialists and particularly graduate students. Many examples are given and further problems suggested.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction: algebra versus topology\u003cbr\u003e 2. The Stiefel manifolds\u003cbr\u003e 3. The auxiliary spaces\u003cbr\u003e 4. Retractible fibrations\u003cbr\u003e 5. Thom spaces\u003cbr\u003e 6. Homotopy equivariance\u003cbr\u003e 7. Cross-sections and the S-type\u003cbr\u003e 8. Relative Stiefel manifolds\u003cbr\u003e 9. Cannibalistic characteristic classes\u003cbr\u003e 10. Exponential characteristic classes\u003cbr\u003e 11. The main theorem of J-theory\u003cbr\u003e 12. The fibre suspension\u003cbr\u003e 13. Canonical automorphisms\u003cbr\u003e 14. The iterated suspension\u003cbr\u003e 15.Samelson products\u003cbr\u003e 16. The Hopf construction\u003cbr\u003e 17. The Bott suspension\u003cbr\u003e 18. The intrinsic join again\u003cbr\u003e 19. Homotopy- commutativity\u003cbr\u003e 20. The triviality problem\u003cbr\u003e 21. When is Pn, k neutral?\u003cbr\u003e 22. When is V n, 2 neutral?\u003cbr\u003e 23. When is V n, k neutral?\u003cbr\u003e 24. Further results and problems\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\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":46005444804888,"sku":"9780521213349","price":52.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521213349i_57faa427-6ecb-4250-8a34-ce23059560df.jpg?v=1691373981","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-topology-of-stiefel-manifolds-paperback-9780521213349","provider":"Freshly Printed Books","version":"1.0","type":"link"}