The Wikipedia article on the Poincare conjecture, covering Henri Poincare's 1904 statement, Grigori Perelman's 2002-2003 proof by Ricci flow, and the Fields Medal and Millennium Prize Perelman declined.
Facts
Citation
PublisherWikimedia Foundation
URLhttps://en.wikipedia.org/wiki/Poincar%C3%A9_conjecture
Source TypeEncyclopedia
Assessment
Reliability Tier2
Sources
Poincare Conjecture (Wikipedia)
Wikimedia FoundationStatement sectionQuote, Statement section
Every three-dimensional topological manifold which is closed, connected, and has trivial fundamental group is homeomorphic to the three-dimensional sphere.
Claims Backed By This Source (10 claims)
This source backs 10 claims across the atlas. As facts: 6 well-attested. As cited relationships: 2 holds, 1 connected. Plus 1 entities citing it as a general reference with no single fact or relationship attached.
Disposition By Topic
- Sources, 5 claims: 5 well-attested.
- Theorems, 5 claims: 1 well-attested, 2 holds, 1 connected, 1 general references.
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