| 书目名称 | Convex Integration Theory | | 副标题 | Solutions to the h-p | | 编辑 | David Spring | | 视频video | http://file.papertrans.cn/238/237844/237844.mp4 | | 丛书名称 | Monographs in Mathematics | | 图书封面 |  | | 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 | | 关键词 | 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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