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Fixed-point property

A mathematical object X {\displaystyle X} has the fixed-point property if every suitably well-behaved mapping from X {\displaystyle X} to itself has a fixed point. The term is most commonly used to describe topological spaces on which every continuous mapping has a fixed point. But another use is in order theory, where a partially ordered set P…

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Fixed-point property

Nodes40
Edges39
Triples15
Avg. degree1.95
Density0.05
Components1

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Fixed-point property

Top relations

related to The closed interval · 5
Fixed-point property → By, If, Let, The, Thus
related to Definition · 4
Fixed-point property → Let, The, Then, Top
related to Topology · 3
Fixed-point property → Since, That, This
related to The closed disc · 2
Fixed-point property → Brouwer, The
related to Singletons · 1
Fixed-point property → In

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Important terminology

displaystyle property fixed point fixed-point every topological mapping fpp interval continuous function space closed theorem spaces compact category object ordered

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Fixed-point propertyrelated to DefinitionLet0.60section
Fixed-point propertyrelated to DefinitionThen0.60section
Fixed-point propertyrelated to DefinitionThe0.60section
Fixed-point propertyrelated to DefinitionTop0.60section
Fixed-point propertyrelated to SingletonsIn0.60section
Fixed-point propertyrelated to The closed discThe0.60section
Fixed-point propertyrelated to The closed discBrouwer0.60section
Fixed-point propertyrelated to The closed intervalThe0.60section
Fixed-point propertyrelated to The closed intervalLet0.60section
Fixed-point propertyrelated to The closed intervalIf0.60section
Fixed-point propertyrelated to The closed intervalThus0.60section
Fixed-point propertyrelated to The closed intervalBy0.60section

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    Min side: 3
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