Facts
Citation
URLhttps://en.wikipedia.org/wiki/Poincar%C3%A9%E2%80%93Hopf_theorem
Sources
Poincare-Hopf theorem, Wikipedia
Lead sectionQuote, Lead section
In mathematics, the Poincaré-Hopf theorem (also known as the Poincaré-Hopf index formula, Poincaré-Hopf index theorem, or Hopf index theorem) is an important theorem in differential topology that relates zeros of continuous vector field on compact differential manifold to Euler characteristic of that manifold.
Claims Backed By This Source (6 claims)
This source backs 6 claims across the atlas. As facts: 3 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
- Theorems, 5 claims: 2 well-attested, 2 holds, 1 general references.
- Sources, 1 claims: 1 well-attested.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.