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Order embedding

In order theory, a branch of mathematics, an order embedding is a special kind of monotone function, which provides a way to include one partially ordered set into another. Like Galois connections, order embeddings constitute a notion which is strictly weaker than the concept of an order isomorphism. Both of these weakenings may be understood in terms of…

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Overview

Formal definition

Properties

Additional perspectives

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Map overview Semantic statistics

Order embedding

Nodes40
Edges39
Triples20
Avg. degree1.95
Density0.05
Components1

How this topic connects Entity context

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Order embedding

Top relations

related to Properties · 9
Order embedding → An, As, For, Just, On, Ordering, The, Weese, Yet
related to Additional perspectives · 6
Order embedding → An, Category, For, Graph, Model, Posets
related to Formal definition · 3
Order embedding → Formally, If, Such
is a · 2
Order embedding → coretraction, special kind of monotone function

Important terminology Word statistics

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Important terminology

order displaystyle embedding isomorphism function order-preserving poset one see posets example partially ordered set theory category two retract theoretically way

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Order embeddingis aspecial kind of monotone function0.90text
Order embeddingis acoretraction0.90text
Order embeddingrelated to Additional perspectivesPosets0.60section
Order embeddingrelated to Additional perspectivesFor0.60section
Order embeddingrelated to Additional perspectivesModel0.60section
Order embeddingrelated to Additional perspectivesAn0.60section
Order embeddingrelated to Additional perspectivesGraph0.60section
Order embeddingrelated to Additional perspectivesCategory0.60section
Order embeddingrelated to Formal definitionFormally0.60section
Order embeddingrelated to Formal definitionSuch0.60section
Order embeddingrelated to Formal definitionIf0.60section
Order embeddingrelated to PropertiesAn0.60section

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    Min side: 3
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