Carathéodory's theorem

theorem in complex analysis that a conformal mapping sending the unit disk to a region in the complex plane bounded by a Jordan curve extends continuously to a homeomorphism from the unit circle onto the Jordan curve
rdfs:label
"Carathéodory's theorem"@en
skos:altLabel
"Satz von Carathéodory"@de
schema:description
"theorem in complex analysis that a conformal mapping sending the unit disk to a region in the complex plane bounded by a Jordan curve extends continuously to a homeomorphism from the unit circle onto the Jordan curve"@en
schema:dateModified "2026-10-21T10:38:20+00:00"^^xsd:dateTime
schema:version 2559467338
wikibase:identifiers 1
wikibase:sitelinks 6
wikibase:statements 6
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p:P2579 wd:statement/Q4378889-89381370-2686-4E48-904D-893068DB9F4D
p:P31 wd:statement/Q4378889-BE081240-4DBB-403F-A229-E9050F386744
p:P361 wd:statement/Q4378889-8401CA76-0613-427C-AF23-E6420920E0A7
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wdt:P138 Konstantinos Carathéodory
wdt:P2579 complex analysis
wdt:P31 theorem
wdt:P361 list of theorems
wdt:P6104 WikiProject Mathematics
wdt:P646 "/m/06zr4b"
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