Some notes on weakly Whyburn spaces

We construct in ZFC two compact weakly Whyburn spaces that are not hereditarily weakly Whyburn, one of them is also sequential. We also construct a Hausdorff countably compact space and a Tychonoff topological group both of weight ω1 that are not weakly Whyburn. We finally show that Whyburn and weakly Whyburn properties are not preserved by pseudo-open maps.