Resumen de A note on the homotopical characterization of Rn

Rafael Ayala Gómez, Antonio Rafael Quintero Toscano

• This note gives conditions which assure that the one-point compactification of an open manifold is a manifold. This result is used to show that the homotopical characterization of $\mathbb{R}^n (n\geq 4)$ can be derived from the Poincaré Conjecture.