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Enriched category

In category theory, a branch of mathematics, an enriched category generalizes the idea of a locally small category by replacing hom-sets with objects from a general monoidal category. It is motivated by the observation that, in many practical applications, the hom-set often has additional structure that should be respected, e.g., that of being a vector…

Products, Examples of enriched categories & Overview

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Overview

Definition

Examples of enriched categories

Relationship with monoidal functors

Enriched functors

Advanced semantic analysis

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Map overview Semantic statistics

Enriched category

Nodes47
Edges46
Triples6
Avg. degree1.96
Density0.042553
Components1

How this topic connects Entity context

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Enriched category

Top relations

related to Definition · 3
Enriched category → Let, M-category, Then
related to Relationship with monoidal functors · 3
Enriched category → Every, If, In

Important terminology Word statistics

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Important terminology

category enriched monoidal morphisms categories ordinary hom-objects morphism composition identity objects structure sets product operation functor object case cartesian set

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Enriched categoryrelated to DefinitionLet0.60section
Enriched categoryrelated to DefinitionThen0.60section
Enriched categoryrelated to DefinitionM-category0.60section
Enriched categoryrelated to Relationship with monoidal functorsIf0.60section
Enriched categoryrelated to Relationship with monoidal functorsEvery0.60section
Enriched categoryrelated to Relationship with monoidal functorsIn0.60section

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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