New examples of non-commutative Valdivia compact spaces

Abstract

The aim of this note is to characterize trees, endowed with coarse wedge topology, that have a retractional skeleton. We use this characterization to provide new examples of compact spaces with retractional skeleton that are not Valdivia.

Keywords

• retractional skeleton
• Valdivia compact spaces
• trees
• coarse wedge topology
• bounded topology