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Surface (topology)

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.

Closed surfaces, Extrinsically defined surfaces and embeddings & In general

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Closed surfaces

21 related topics

Extrinsically defined surfaces and embeddings

19 related topics

In general

17 related topics

Surfaces in geometry

15 related topics

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Overview

In general

Definitions and first examples

Extrinsically defined surfaces and embeddings

Construction from polygons

Connected sums

Closed surfaces

Surfaces with boundary

Non-compact surfaces

Assumption of second-countability

Surfaces in geometry

Simplicial proofs of classification up to homeomorphism

Other proofs

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Map overview Semantic statistics

Surface (topology)

Nodes147
Edges146
Triples0
Avg. degree1.99
Density0.013605
Components1

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Important terminology

surface surfaces boundary closed connected topology sphere plane compact space real projective example two torus topological sum complex homeomorphic isbn

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