Franco Obersnel
Open maps do not preserve Whyburn property

Comment.Math.Univ.Carolinae 44,3 (2003) 525-530.

Abstract:We show that a (weakly) Whyburn space $X$ may be mapped continuously via an open map $f$ onto a non (weakly) Whyburn space $Y$. This fact may happen even between topological groups $X$ and $Y$, $f$ a homomorphism, $X$ Whyburn and $Y$ not even weakly Whyburn.

Keywords: weakly Whyburn space, open function
AMS Subject Classification: 54A20, 54D55