Communications of the
Korean Mathematical Society CKMS

We provide some examples around AP and WAP spaces which are connected with higher convergence properties-radiality, semiradiality and pseudoradiality. We also prove a theorem (Theorem 3.2) that (a) any pseudo-open continuous image of an AP-space is an AP-space and (b) any pseudo-open continuous image of an WAP-space is an WAP-space. This answers the question posed by V.~V.~Tkachuk and I.~V.~Yaschenko \cite{TY}. \end{abstract}

Keywords: Fr\'echet-Urysohn, radial, pseudoradial, AP, WAP, compact

MSC numbers: Primary 54A25, 54D55