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. © 2002 Elsevier Science B.V. All rights reserved.
Obersnel, F. (2003). Some notes on weakly Whyburn spaces. Topology and Its Applications, 128(2–3), 257–262. https://doi.org/10.1016/S0166-8641(02)00127-X