Characterization of compact monotonically (ω)-monolithic spaces using system of retractions

Abstract

We prove that a compact space is monotonically Sokolov if and only if it is monotonically ω-monolithic. This gives answers to several questions of R.

Rojas-Hernández and V.V. Tkachuk.

Keywords

• Retraction
• Monotonically Sokolov space
• Monotonically monolithic space
• Monotonically ω-monolithic space