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.
Titolo: | Open maps do not preserve Whyburn properties. | |
Autori: | ||
Data di pubblicazione: | 2003 | |
Rivista: | ||
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. | |
Handle: | http://hdl.handle.net/11368/1690576 | |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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