Some notes on weakly Whyburn spaces

Abstract

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.