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
rdfs:label
"Poincaré–Birkhoff theorem"@en
skos:altLabel
"Poincare–Birkhoff theorem"@en
"Poincaré's last geometric theorem"@en
"Poincaré's last theorem"@en
schema:description
"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"@en
schema:dateModified "2026-07-10T16:27:18+00:00"^^xsd:dateTime
schema:version 2515932259
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wdt:P10565 "321747"
wdt:P138 George David Birkhoff
Henri Poincaré
wdt:P14541 "4FqZYR"
wdt:P31 fixed-point theorem
theorem
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