Geodesic
Open maps do not preserve Whyburn property
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 3, pp. 525-530.

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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.
Classification : 54A20, 54C10, 54D55
Keywords: weakly Whyburn space; open function 
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     title = {Open maps do not preserve {Whyburn} property},
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Obersnel, Franco. Open maps do not preserve Whyburn property. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 3, pp. 525-530. http://geodesic.mathdoc.fr/item/CMUC_2003__44_3_a10/