Question

Is circle a regular surface?​

Answer 1

A subset is called a regular surface if for each point , there exists a neighborhood of in and a map of an open set onto such that.

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Answer 2

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A surface is a generalization of a plane, which is not necessarily flat – that is, the curvature is not necessarily zero. This is analogous to a curve generalizing a straight line. There are many more precise definitions, depending on the context and the mathematical tools that are used to analyze the surface.