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Homotopy fiber

In mathematics, especially homotopy theory, the homotopy fiber (sometimes called the mapping fiber) is part of a construction that associates a fibration to an arbitrary continuous function of topological spaces f : A → B {\displaystyle f:A\to B} . It acts as a homotopy theoretic kernel of a mapping of topological spaces due to the fact it yields a long…

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Homotopy fiber

Nodes32
Edges31
Triples15
Avg. degree1.94
Density0.0625
Components1

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Homotopy fiber

Top relations

related to Construction · 7
Homotopy fiber → Embed, Furthermore, Given, If, The, Then, We
related to Postnikov tower · 3
Homotopy fiber → For, One, Postnikov
related to From a covering space · 2
Homotopy fiber → Given, Hofiber
related to As a homotopy limit · 1
Homotopy fiber → Another
related to Duality with mapping cone · 1
Homotopy fiber → The
related to Loop space · 1
Homotopy fiber → Given

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Important terminology

homotopy displaystyle fiber fibration text map construction path begin end sequence space mapping pi given gamma left right long exact

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Homotopy fiberrelated to As a homotopy limitAnother0.60section
Homotopy fiberrelated to ConstructionThe0.60section
Homotopy fiberrelated to ConstructionIf0.60section
Homotopy fiberrelated to ConstructionWe0.60section
Homotopy fiberrelated to ConstructionGiven0.60section
Homotopy fiberrelated to ConstructionThen0.60section
Homotopy fiberrelated to ConstructionFurthermore0.60section
Homotopy fiberrelated to ConstructionEmbed0.60section
Homotopy fiberrelated to Duality with mapping coneThe0.60section
Homotopy fiberrelated to From a covering spaceGiven0.60section
Homotopy fiberrelated to From a covering spaceHofiber0.60section
Homotopy fiberrelated to Loop spaceGiven0.60section

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