Downloads: 8 | Views: 113 | Weekly Hits: ⮙1 | Monthly Hits: ⮙2
Review Papers | Mathematics | India | Volume 12 Issue 7, July 2023
An Elementary Proof of the Poincare
Abstract: We provide a comprehensive analysis and (simple) proof of Poincare's conjecture, a fundamental problem in topology. The conjecture asserts that any compact, smooth 3-manifold with the same homotopy type as the 3-sphere (S3) is necessarily diffeomorphic to S3 itself. Index Terms-Poincare's conjecture, compact manifolds, smooth manifolds, homotopy equivalence, diffeomorphism, 3-manifold, 3-sphere, topology, differential topology, algebraic topology.
Keywords: Poincare's Conjecture, topology, homotopy, sphere
Edition: Volume 12 Issue 7, July 2023,
Pages: 2230 - 2231