Examples and function theorems around AP and WAP spaces
Commun. Korean Math. Soc. 2008 Vol. 23, No. 3, 447-452
Printed September 1, 2008
Myung Hyun Cho, Junhui Kim, and Mi Ae Moon
Wonkwang University
Abstract : 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
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