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Morphism

In mathematics, a morphism is a concept of category theory that generalizes structure-preserving maps such as homomorphism between algebraic structures, functions from a set to another set, and continuous functions between topological spaces. Although many examples of morphisms are structure-preserving maps, morphisms need not be maps, but they can be…

Some special morphisms, Examples & Overview

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Overview

Definition

Some special morphisms

Examples

Advanced semantic analysis

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Map overview Semantic statistics

Morphism

Nodes70
Edges69
Triples33
Avg. degree1.97
Density0.028571
Components1

How this topic connects Entity context

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Morphism

Top relations

related to Isomorphisms · 8
Morphism → For, However, If, Inverse, Set, The, Two, While
related to Examples · 6
Morphism → Category, For, However, In, There, Top
related to Monomorphisms and epimorphisms · 4
Morphism → In, Morphisms, The, Thus
related to Definition · 3
Morphism → For, There, Therefore
related to Endomorphisms and automorphisms · 3
Morphism → An, In, Karoubi
related to External links · 3
Morphism → EMS Press, Encyclopedia, Mathematics
is a · 2
Morphism → concept of category theory that generalizes structure-preserving maps such as homomorphism between algebraic structures, function from an object to another object
see also · 1
Morphism → Normal

Important terminology Word statistics

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Important terminology

morphisms category displaystyle called monomorphism epimorphism isomorphism inverse circ composition two source target objects split every categories also function functions

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Morphismis aconcept of category theory that generalizes structure-preserving maps such as homomorphism between algebraic structures0.90text
Morphismis afunction from an object to another object0.90text
homomorphism between algebraic structuresinstance ofa morphism is a concept of category theory that generalizes structure-preserving maps0.80text
functions from a set to another setinstance ofa morphism is a concept of category theory that generalizes structure-preserving maps0.80text
and continuous functions between topological spacesinstance ofa morphism is a concept of category theory that generalizes structure-preserving maps0.80text
Morphismrelated to DefinitionThere0.60section
Morphismrelated to DefinitionFor0.60section
Morphismrelated to DefinitionTherefore0.60section
Morphismrelated to Endomorphisms and automorphismsIn0.60section
Morphismrelated to Endomorphisms and automorphismsKaroubi0.60section
Morphismrelated to Endomorphisms and automorphismsAn0.60section
Morphismrelated to ExamplesFor0.60section

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    Min side: 3
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