Mathematics Atlas

How Proof Is Made
Sources

Poincare Conjecture (Wikipedia)

Encyclopedia Article

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General Reference

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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
Publisher
Wikimedia Foundation
URL
https://en.wikipedia.org/wiki/Poincar%C3%A9_conjecture
Source Type
Encyclopedia
Assessment
Reliability Tier
2
Sources
Poincare Conjecture (Wikipedia)
Wikimedia FoundationPage masthead
Quote, Page masthead
From Wikipedia, the free encyclopedia
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Poincare Conjecture (Wikipedia)
Wikimedia FoundationStatement section
Quote, Statement section
Every three-dimensional topological manifold which is closed, connected, and has trivial fundamental group is homeomorphic to the three-dimensional sphere.
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Claims Backed By This Source (8 claims)

This source backs 8 claims across the atlas. As facts: 5 well-attested. As cited relationships: 2 holds. 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, 3 claims: 2 holds, 1 general references.

Well-attested

5

Holds

2

General References

1
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