Question

Define surface.

Answer 1

Answer on Question #76065 – Math – Differential Geometry | Topology

Question

Define surface.

Solution

Common definition: Surface is a generalization of a plane which need not to be flat, that is, the curvature is not necessarily zero. This is analogous to a fact that a curve is a generalization of a straight line.

In topology: Surface is a two-dimensional manifold, and it may be an "abstract surface" not embedded in any Euclidean space.

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