Brouwer fixed-point theorem
every continuous function on a compact set has a fixed point
Facts
5 properties- Instance of
- fixed-point theorem, theorem[2]
- Part of
- list of theorems[4]
- Maintained by WikiProject
- WikiProject Mathematics[6]
- Named after
- Luitzen Egbertus Jan Brouwer[3]
- Solved by
- Piers Bohl[5]
🏷️ Also known as
en Brouwer's fixed point theorem
en Brouwer fixed-point theorem
en Brouwer theorem
en Brouwer's theorem
en Brouwer's fixed-point theorem
cs Brouwerova věta o pevném bodu
cs Browerova věta o pevném bodu
da Brouwers fixpunktsligning
de Brouwer's Fixpunktsatz
de Brouwerscher Fixpunktsatz
de Fixpunktsatz von Brouwer
de Brouwer-Fixpunktsatz
es teorema de Brouwer
es teorema del punto fijo de Brouwer
fi Brouwerin kiintopistelause
fr théorème de Brouwer
fr théorème du point fixe de Brouwer
he משפט נקודת השבת של בראואר
he משפט נקודת השבת של בראוור
he משפט נקודת השבת של ברואור
🔖 Identifiers · 11
- GND ID
- 4226759-6
- OpenAlex ID
- C146147875
- Encyclopedia of Mathematics article ID
- Brouwer_theorem
- Encyclopædia Britannica Online ID
- topic/Brouwers-fixed-point-theorem
- Freebase ID
- /m/01bb0
- JSTOR topic ID (archived)
- brouwer-fixed-point-theorem
- MathWorld ID
- BrouwerFixedPointTheorem
- Microsoft Academic ID (discontinued)
- 146147875
- PlanetMath ID
- BrouwerFixedPointTheorem
- Treccani's Enciclopedia della Matematica ID
- teorema-del-punto-fisso-di-brouwer
🔗 Connections
Created notable works 2
Instance of 2
Maintained by WikiProject 1
Named after 1
Part of 1
Solved by 1
← Generalization of 1
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Summary
Brouwer fixed-point theorem is a fixed-point theorem[1].