Some notes on weakly Whyburn spaces (Q1873309)

A space \(X\) is weakly Whyburn provided that for each non-closed \(A\subset X\) there is \(x\in\overline A-A\) and \(F\subset A\) with \(\overline F-F=\{ x\}\). Open and closed subsets of weakly Whyburn spaces are also weakly Whyburn but examples are constructed of compact spaces which are weakly Whyburn but have subspaces which are not. Some examples of spaces which are not weakly Whyburn are given, for example \(C_p(\omega_1)\). Editorial remark on the corrigendum: The author gave an example of a Hausdorff compact sequential space and incorrectly claimed that it was not hereditarily weakly Whyburn. In the corrigendum a correct example of a Hausdorff (scattered) sequential space is presented which is not hereditarily weakly Whyburn. The question about the existence of a Tikhonov (or just regular) sequential space that is not weakly Whyburn remains open