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Induced homomorphism

In mathematics, especially in algebraic topology, an induced homomorphism is a homomorphism derived in a canonical way from another map. For example, a continuous map from a topological space X to a topological space Y induces a group homomorphism from the fundamental group of X to the fundamental group of Y.

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In fundamental groups

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Induced homomorphism

Nodes56
Edges55
Triples13
Avg. degree1.96
Density0.035714
Components1

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Induced homomorphism

Top relations

related to Other examples · 9
Induced homomorphism → Any, Borel, For, Generalizations, IV, Likewise, Moore, Rham, Similarly
is a · 1
Induced homomorphism → homomorphism derived in a canonical way from another map

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Important terminology

induced fundamental homomorphism map group groups displaystyle space homomorphisms continuous spaces functor definition example algebraic often homotopy category topological structures

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Induced homomorphismis ahomomorphism derived in a canonical way from another map0.90text
cobordism also have induced homomorphismsinstance ofGeneralizations0.80text
the category of groups Grp or of abelian groups Ab which then associates such an algebraic structure to every topological spaceinstance ofof algebraic structures0.80text
then for every morphism finstance ofof algebraic structures0.80text
Induced homomorphismrelated to Other examplesLikewise0.60section
Induced homomorphismrelated to Other examplesAny0.60section
Induced homomorphismrelated to Other examplesFor0.60section
Induced homomorphismrelated to Other examplesBorel0.60section
Induced homomorphismrelated to Other examplesMoore0.60section
Induced homomorphismrelated to Other examplesIV0.60section
Induced homomorphismrelated to Other examplesSimilarly0.60section
Induced homomorphismrelated to Other examplesRham0.60section

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