| 书目名称 | Convex Integration Theory | | 副标题 | Solutions to the h-p | | 编辑 | David Spring | | 视频video | | | 概述 | Comprehensive and systematic monograph on convex integration theory.Indispensable to all interested in differential topology, symplectic topology and optimal control theory.Addresses as well as resear | | 丛书名称 | Modern Birkhäuser Classics | | 图书封面 |  | | 描述 | §1. Historical Remarks Convex Integration theory, ?rst 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 classi?cation problem for immersions of spheres in Euclidean space. These general methods are not linearly related in the sense that succ- sive methods subsumed the previous methods. Each method has its own distinct foundation, based on an independent geometrical or analytical insight. Con- 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 ConvexIntegrationtheoryisthatitappliestosolveclosed relationsinjetspaces, including certain general classes of underdetermined non-linear systems of par- 1 tial di?erential equati | | 出版日期 | Book 1998 | | 关键词 | Topology; convex integration; differential geometry; equation; function; geometry; hull extensions; manifol | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0060-0 | | isbn_softcover | 978-3-0348-0059-4 | | isbn_ebook | 978-3-0348-0060-0Series ISSN 2197-1803 Series E-ISSN 2197-1811 | | issn_series | 2197-1803 | | copyright | Birkhäuser Verlag 1998 |
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发表于 2025-3-21 17:54:22
