The Wikipedia article on Caratheodory conjecture, consulted for its lead-section facts.
Facts
Citation
PublisherWikimedia Foundation
URLhttps://en.wikipedia.org/wiki/Caratheodory_conjecture
Source TypeReference Work
Assessment
Reliability Tier2
General encyclopedia reference, actively edited; tier 2 matching the family's existing Wikipedia source entities. Sources
Caratheodory Conjecture (Wikipedia)
Wikimedia FoundationLead sectionQuote, Lead section
In differential geometry, the Carathéodory conjecture is a mathematical conjecture attributed to Constantin Carathéodory by Hans Ludwig Hamburger, stating that any convex, closed and sufficiently smooth surface in three dimensional Euclidean space must admit at least two umbilic points.
Claims Backed By This Source (14 claims)
This source backs 14 claims across the atlas. As facts: 10 well-attested. Plus 4 entities citing it as a general reference with no single fact or relationship attached.
Disposition By Topic
- Conjectures, 10 claims: 6 well-attested, 4 general references.
- Sources, 4 claims: 4 well-attested.
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