| Title |
An outreach note on the Poincaré Conjecture for non-specialists |
| Authors |
Otera, Daniele Ettore |
| DOI |
10.29020/nybg.ejpam.v17i3.5351 |
| Full Text |
|
| Is Part of |
European journal of pure and applied mathematics.. Maryland : New York Business Global. 2024, vol. 17, no. 3, p. 2361-2369.. ISSN 1307-5543 |
| Keywords [eng] |
3-manifolds ; differential and geometric structures ; Poincaré conjecture |
| Abstract [eng] |
The Poincaré Conjecture, a problem formulated by the French mathematician Henri Poincaré more than a century ago, has been one of the main challenge of modern mathematics. It states that any three-dimensional space which is closed on itself and without holes can be deformed into a sphere of dimension 3. Even if the conjecture was solved at the beginning of this century, it still remains a mysterious, appealing and intriguing problem worth to be further studied in detail. The purpose of this short popularizing note is, on the one hand, to provide a quick overview for non-experts of what we know today about the Poincaré Conjecture and its related problems in dimension 3, and, on the other hand, to explain why it has represented a central problem in mathematics. |
| Published |
Maryland : New York Business Global |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
