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Locally compact abelian group

In several mathematical areas, including harmonic analysis, topology, and number theory, locally compact abelian groups are abelian groups which have a particularly convenient topology on them. For example, the group of integers (equipped with the discrete topology), or the real numbers or the circle (both with their usual topology) are locally compact…

Art, The dual group & Definition and examples

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Overview

Definition and examples

The dual group

Pontryagin duality

Categorical properties

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Map overview Semantic statistics

Locally compact abelian group

Nodes46
Edges45
Triples13
Avg. degree1.96
Density0.043478
Components1

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Locally compact abelian group

Top relations

related to The dual group · 6
Locally compact abelian group → Hom, However, If, More, The, This
related to Categorical properties · 4
Locally compact abelian group → Clausen, K-theory, LCA, More
related to Definition and examples · 2
Locally compact abelian group → Examples, Hausdorff
related to Pontryagin duality · 1
Locally compact abelian group → Pontryagin

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Important terminology

displaystyle group mathbb abelian topology compact dual groups locally isomorphic numbers character circle integers discrete addition finite real continuous examples

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Locally compact abelian grouprelated to Categorical propertiesClausen0.60section
Locally compact abelian grouprelated to Categorical propertiesLCA0.60section
Locally compact abelian grouprelated to Categorical propertiesMore0.60section
Locally compact abelian grouprelated to Categorical propertiesK-theory0.60section
Locally compact abelian grouprelated to Definition and examplesHausdorff0.60section
Locally compact abelian grouprelated to Definition and examplesExamples0.60section
Locally compact abelian grouprelated to Pontryagin dualityPontryagin0.60section
Locally compact abelian grouprelated to The dual groupIf0.60section
Locally compact abelian grouprelated to The dual groupThe0.60section
Locally compact abelian grouprelated to The dual groupThis0.60section
Locally compact abelian grouprelated to The dual groupHowever0.60section
Locally compact abelian grouprelated to The dual groupHom0.60section

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