| 書目名稱 | Convex Integration Theory | | 副標(biāo)題 | Solutions to the h-p | | 編輯 | David Spring | | 視頻video | http://file.papertrans.cn/238/237844/237844.mp4 | | 叢書名稱 | Monographs in Mathematics | | 圖書封面 |  | | 描述 | §1. Historical Remarks Convex Integration theory, first introduced by M. Gromov [17], is one of three general methods in immersion-theoretic topology for solving a broad range of problems in geometry and topology. The other methods are: (i) Removal of Singularities, introduced by M. Gromov and Y. Eliashberg [8]; (ii) the covering homotopy method which, following M. Gromov‘s thesis [16], is also referred to as the method of sheaves. The covering homotopy method is due originally to S. Smale [36] who proved a crucial covering homotopy result in order to solve the classification problem for immersions of spheres in Euclidean space. These general methods are not linearly related in the sense that succes- sive methods subsumed the previous methods. Each method has its own distinct foundation, based on an independent geometrical or analytical insight. Conse- quently, each method has a range of applications to problems in topology that are best suited to its particular insight. For example, a distinguishing feature of Convex Integration theory is that it applies to solve closed relations in jet spaces, including certain general classes of underdetermined non-linear systems of par- tial di | | 出版日期 | Book 1998 | | 關(guān)鍵詞 | Differential topology; Manifold; Topology; differential geometry; equation; function; geometry; theorem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8940-7 | | isbn_softcover | 978-3-0348-9836-2 | | isbn_ebook | 978-3-0348-8940-7Series ISSN 1017-0480 Series E-ISSN 2296-4886 | | issn_series | 1017-0480 | | copyright | Springer Basel AG 1998 |
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