We construct in ZFC two compact weakly Whyburn spaces that are not hereditarily weakly Whyburn. We also construct a Hausdorff countably compact space and a Tychonoff topological group both of weight $\omega_1$ that are not weakly Whyburn. We finally show that Whyburn and weakly Whyburn properties are not preserved by pseudo-open maps.
Some notes on weakly Whyburn spaces / Obersnel, Franco. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - STAMPA. - 128:(2003), pp. 257-262.
Some notes on weakly Whyburn spaces.
OBERSNEL, Franco
2003-01-01
Abstract
We construct in ZFC two compact weakly Whyburn spaces that are not hereditarily weakly Whyburn. We also construct a Hausdorff countably compact space and a Tychonoff topological group both of weight $\omega_1$ that are not weakly Whyburn. We finally show that Whyburn and weakly Whyburn properties are not preserved by pseudo-open maps.File in questo prodotto:
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