Fréchet Surface
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Fréchet surface is an equivalence class of parametrized surfaces in a metric space. In other words, a Fréchet surface is a way of thinking about surfaces independently of how they are "written down" (parametrized). The concept is named after the French mathematician Maurice Fréchet. Many properties of parametrized surfaces are actually properties of the Fréchet surface, i.e. of the whole equivalence class, and not of any particular parametrizatio...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Fréchet surface is an equivalence class of parametrized surfaces in a metric space. In other words, a Fréchet surface is a way of thinking about surfaces independently of how they are "written down" (parametrized). The concept is named after the French mathematician Maurice Fréchet. Many properties of parametrized surfaces are actually properties of the Fréchet surface, i.e. of the whole equivalence class, and not of any particular parametrization. For example, given two Fréchet surfaces, the value of (f, g) is independent of the choice of the parametrizations f and g, and is called the Fréchet distance between the Fréchet surfaces.
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