現代数学の系譜11 ガロア理論を読む21at MATH
現代数学の系譜11 ガロア理論を読む21
- 暇つぶし2ch585: : X → Y , may be deformed by an arbitrary small amount into a map that is transverse to a given submanifold Z ⊆ Y . Together with the Pontryagin-Thom construction, it is the technical heart of cobordism theory, and the starting point for surgery theory. The finite-dimensional version of the transversality theorem is also a very useful tool for establishing the genericity of a property which is dependent on a finite number of real parameters and which is expressible using a system of nonlinear equations. This can be extended to an infinite-dimensional parametrization using the infinite-dimensional version of the transversality theorem. （引用おわり）
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