An Outreach Note on the Poincare Conjecture for Non-specialists
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i3.5351Keywords:
3-manifolds, homotopy spheres, differential structuresAbstract
The Poincare Conjecture, a problem formulated by the French mathematician Henri Poincare 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 Poincare Conjecture and its related problems in dimension 3, and, on the other hand, to explain why it has represented a central problem in mathematics.
Downloads
Published
License
Copyright (c) 2024 European Journal of Pure and Applied Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.