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Local flatness

In topology, a branch of mathematics, local flatness is a smoothness condition that can be imposed on topological submanifolds. In the category of topological manifolds, locally flat submanifolds play a role similar to that of embedded submanifolds in the category of smooth manifolds. Violations of local flatness describe ridge networks and crumpled…

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Local flatness

Nodes16
Edges15
Triples3
Avg. degree1.88
Density0.125
Components1

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Local flatness

Top relations

related to Consequences · 2
Local flatness → Brown, Local
is a · 1
Local flatness → smoothness condition that can be imposed on topological submanifolds

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Important terminology

locally flat topological boundary displaystyle homeomorphic local flatness manifolds submanifolds neighborhood point definition mathematics pair cap mathbb 1962 submanifold embedded

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Local flatnessis asmoothness condition that can be imposed on topological submanifolds0.90text
Local flatnessrelated to ConsequencesLocal0.60section
Local flatnessrelated to ConsequencesBrown0.60section

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