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Group object

In category theory, a branch of mathematics, group objects are certain generalizations of groups that are built on more complicated structures than sets. A typical example of a group object is a topological group, a group whose underlying set is a topological space such that the group operations are continuous.

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Overview

Definition

Examples

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Map overview Semantic statistics

Group object

Nodes45
Edges44
Triples17
Avg. degree1.96
Density0.044444
Components1

How this topic connects Entity context

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Group object

Top relations

related to Examples · 13
Group object → An, Cogroup, Conversely, Each, Eckmann, Given, Here, Hilton, In, Lie, More, See, The
see also · 2
Group object → Groupoid, Hopf
is a · 1
Group object → topological group
related to Definition · 1
Group object → Formally

Important terminology Word statistics

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Important terminology

group category object objects inv groups identity element operation idg inverse categories abelian product morphisms also sets mathematics continuous together

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Group objectis atopological group0.90text
Group objectrelated to DefinitionFormally0.60section
Group objectrelated to ExamplesEach0.60section
Group objectrelated to ExamplesThe0.60section
Group objectrelated to ExamplesLie0.60section
Group objectrelated to ExamplesAn0.60section
Group objectrelated to ExamplesIn0.60section
Group objectrelated to ExamplesMore0.60section
Group objectrelated to ExamplesConversely0.60section
Group objectrelated to ExamplesSee0.60section
Group objectrelated to ExamplesEckmann0.60section
Group objectrelated to ExamplesHilton0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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