A point is in the radial closure of a set A if there is a well-ordered sequence from A converging to the point. A set is radially closed if all points in the radial closure are in the set. A space is radial if the radial closure of a set equals its closure and is pseudoradial if every radially closed set is closed.

One can observe that the notions of Frechet-Urysohn and sequential are the related notions when restricted to the usual countable sequences. Motivatedby some work and questions by Santi Spadaro, Istvan Juhasz asked about the implicit question raised by the title. We discuss our progress on the problem in joint work with Istvan Juhasz.