Poincaré–Birkhoff theorem
in symplectic topology, the theorem that every area-preserving, orientation-preserving homeomorphism of an annulus that rotates the two boundaries in opposite directions has at least two fixed points
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Poincaré–Birkhoff theorem
Summary
Poincaré–Birkhoff theorem is a fixed-point theorem[1]. It draws 24 Wikipedia views per month (fixed_point_theorem category, ranking #8 of 14).[2]
Key Facts
- Poincaré–Birkhoff theorem is credited with the discovery of Henri Poincaré[3].
- Poincaré–Birkhoff theorem's instance of is recorded as fixed-point theorem[4].
- Poincaré–Birkhoff theorem's instance of is recorded as theorem[5].
- Henri Poincaré is named after Poincaré–Birkhoff theorem[6].
- George David Birkhoff is named after Poincaré–Birkhoff theorem[7].
- Poincaré–Birkhoff theorem's time of discovery or invention is recorded as +1912-00-00T00:00:00Z[8].
- Poincaré–Birkhoff theorem's Freebase ID is recorded as /m/0jt1qyd[9].
- Poincaré–Birkhoff theorem's maintained by WikiProject is recorded as WikiProject Mathematics[10].
- Poincaré–Birkhoff theorem's Microsoft Academic ID is recorded as 2780385818[11].
- Poincaré–Birkhoff theorem's Encyclopedia of Mathematics article ID is recorded as Poincaré_last_theorem[12].
- Poincaré–Birkhoff theorem's Lex ID is recorded as Poincaré-Birkhoffs_sætning[13].
- Poincaré–Birkhoff theorem's Encyclopedia of China is recorded as 321747[14].
Body
Works and Contributions
Poincaré–Birkhoff theorem is credited with the discovery of Henri Poincaré[3].
Why It Matters
Poincaré–Birkhoff theorem draws 24 Wikipedia views per month (fixed_point_theorem category, ranking #8 of 14).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[15] It is known by 4 alternative names across languages and contexts.[16]