More on sequentially compact implying pseudoradial

We improve some results of Juhász and Szentmiklóssy (1993) and answer the main problem raised there. Thus we show that if a compact T2 space X is not pseudoradial then there is a Y ⊂ X with ¦Y¦ < s so that Ȳ is not pseudoradial. Also, we show that if any number of Cohen reals are added to a model of CH then CSC spaces are pseudoradial in the extension. As a byproduct, we also show that any ω1-compact and sequentially compact separable T3 space is compact in such an extension.