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Order isomorphism

In the mathematical field of order theory, an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets (posets). Whenever two posets are order isomorphic, they can be considered to be "essentially the same" in the sense that either of the orders can be obtained from the other…

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Overview

Definition

Examples

Order types

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Order isomorphism

Nodes36
Edges35
Triples18
Avg. degree1.94
Density0.055556
Components1

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Order isomorphism

Top relations

related to Order types · 7
Order isomorphism → Also, Identity, If, The, Therefore, These, Two
related to Examples · 5
Order isomorphism → By Cantor's, Explicit, Minkowski's, Negation, The
related to Definition · 4
Order isomorphism → Formally, It, That, The
is a · 2
Order isomorphism → equivalence relation, special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets

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Important terminology

order isomorphism ordered two function displaystyle partially posets isomorphic leq elements orders also isbn sets isomorphisms set equivalence every either

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Order isomorphismis aspecial kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets0.90text
Order isomorphismis aequivalence relation0.90text
Order isomorphismrelated to DefinitionFormally0.60section
Order isomorphismrelated to DefinitionThat0.60section
Order isomorphismrelated to DefinitionIt0.60section
Order isomorphismrelated to DefinitionThe0.60section
Order isomorphismrelated to ExamplesThe0.60section
Order isomorphismrelated to ExamplesNegation0.60section
Order isomorphismrelated to ExamplesBy Cantor's0.60section
Order isomorphismrelated to ExamplesExplicit0.60section
Order isomorphismrelated to ExamplesMinkowski's0.60section
Order isomorphismrelated to Order typesIf0.60section

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