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Retraction (topology)

In topology, a retraction is a continuous mapping from a topological space into a subspace that preserves the position of all points in that subspace. The subspace is then called a retract of the original space. A deformation retraction is a mapping that captures the idea of continuously shrinking a space into a subspace.

Definitions, Absolute neighborhood retract (ANR) & No-retraction theorem

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Definitions

Properties

No-retraction theorem

Absolute neighborhood retract (ANR)

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Map overview Semantic statistics

Retraction (topology)

Nodes75
Edges74
Triples0
Avg. degree1.97
Density0.026667
Components1

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Important terminology

space anr homotopy textstyle retract retraction deformation topological subspace every contractible map locally subset spaces metrizable cw complex neighborhood closed

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SubjectPredicateObjectConfidenceSrc

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