{"product_id":"tame-topology-and-o-minimal-structures-paperback-9780521598385","title":"Tame Topology and O-minimal Structures (Paperback) 9780521598385","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eTame Topology and O-minimal Structures\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThese notes give a self-contained treatment of the theory of o-minimal structures.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eL. P. D. van den  Dries (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521598385, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 7 May 1998\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e192 pages\u003cbr\u003e22.8 x 15.2 x 1.2 cm, 0.275 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"This is an excellent textbook...\"   Bulletin of Symbolic Logic\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eFollowing their introduction in the early 1980s o-minimal structures were found to provide an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. The book starts with an introduction and overview of the subject. Later chapters cover the monotonicity theorem, cell decomposition, and the Euler characteristic in the o-minimal setting and show how these notions are easier to handle than in ordinary topology. The remarkable combinatorial property of o-minimal structures, the Vapnik-Chervonenkis property, is also covered. This book should be of interest to model theorists, analytic geometers and topologists.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Some elementary results\u003cbr\u003e 2. Semialgebraic sets\u003cbr\u003e 3. Cell decomposition\u003cbr\u003e 4. Definable invariants: Dimension and Euler characteristic\u003cbr\u003e 5. The Vapnik–Chernovenkis property in o-minimal structures\u003cbr\u003e 6. Point-set topology in o-minimal structures\u003cbr\u003e 7. Smoothness\u003cbr\u003e 8. Triangulation\u003cbr\u003e 9. Trivialization\u003cbr\u003e 10. Definable spaces and quotients.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\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":46004167278872,"sku":"9780521598385","price":71.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521598385i_d37b1655-45f8-4391-82b3-52dde8e58a07.jpg?v=1691370223","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/tame-topology-and-o-minimal-structures-paperback-9780521598385","provider":"Freshly Printed Books","version":"1.0","type":"link"}