最小
发表于 2025-3-23 12:21:11
Textbook 1973well as the proof of the main theorem in the subject-and the definitive work of John Mather. More recently, two survey articles have appeared, by Arnold and Wall , which have done much to codify the new material; still there is no totally accessible description of this subject for the beginn
套索
发表于 2025-3-23 17:54:58
The Malgrange Preparation Theorem,ablish the existence of normal forms for singularities of certain stable mappings. In order to make the theorem palatable, we first state and prove the corresponding but less complicated result for analytic functions of several . variables.
辩论的终结
发表于 2025-3-23 21:26:24
Preliminaries on Manifolds,Let . denote the real numbers and .. denote .-dimensional Euclidean space. Points of .. will be denoted by .-tuples of real numbers (..,..., ..) and .. will always be topologized in the standard way.
通便
发表于 2025-3-24 00:35:10
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Crayon
发表于 2025-3-24 02:27:43
Various Equivalent Notions of Stability,In this section we have three objectives: to show that.We won’t be able to achieve our last objective just yet; but, at least, we shall be able to give a sufficient condition for the existence of a neighborhood of infinitesimally stable mappings around a given infinitesimally stable mapping.
和平主义
发表于 2025-3-24 09:45:40
Graduate Texts in Mathematicshttp://image.papertrans.cn/s/image/875463.jpg
mydriatic
发表于 2025-3-24 13:41:26
https://doi.org/10.1007/978-1-4615-7904-5Immersion; Mappings; Submersion; Umbilical point; manifold
飞镖
发表于 2025-3-24 16:29:05
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Connotation
发表于 2025-3-24 20:36:53
Stable Mappings and Their Singularities978-1-4615-7904-5Series ISSN 0072-5285 Series E-ISSN 2197-5612
语言学
发表于 2025-3-25 02:23:15
Textbook 1973arities of stable differentiable mappings. The study of stable singularities is based on the now classical theories of Hassler Whitney, who determined the generic singularities (or lack of them) of Rn ~ Rm (m ~ 2n - 1) and R2 ~ R2, and Marston Morse, for mappings who studied these singularities for