2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160814The main result of this paper is that if $X$ is a Peano continuum such that its $n$-th cone $C^n(X)$ embeds into $\RR^{n+2}$ then $X$ embeds into $S^2$. This solves a problem proposed by W. Rosicki.Some minor corrections were madeGeometric Topology57Q35text