Transitivity of hereditarily metacompact spaces

Abstract

We prove that each regular hereditarily metacompact (monotonic) β-space has the property that the third power of any neighbornet belongs to its point-finite quasi-uniformity.

Keywords

• Point-finite quasi-uniformity
• Transitive quasi-uniformity
• Transitive topological space
• β-space
• monotonic β-space
• Hereditarily metacompact
• Choquet game