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surface

Two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space

EntityQ484298

Also known as surface (topology) · 2-manifold · topological surface

Subclass of: topological manifold
, two-dimensional space

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In topology, a surface is a two-dimensional manifold. Some surfaces arise as the boundaries of three-dimensional solid figures; for example, the sphere is the boundary of the solid ball. Other surfaces arise as graphs of functions of two variables; see the figure at right. However, surfaces can also be defined abstractly, without reference to any ambient space. For example, the Klein bottle is a surface that cannot be embedded in three-dimensional Euclidean space.

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29 statements · 34% with external sources · numbers in brackets are citations

Different from: physical surface

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statements

34%

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Source last edited September 7, 2026. AIDB refreshes this page daily.

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AIDB. (2026). surface (Q484298). Retrieved from https://aidb.si/e/surface-Q484298