Metrizable DH-spaces with a dense complete subset

2016/01/15 by Medvedev, Sergey
#54E52 #54H05 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1601.03798

Abstract

It is proved that for an h-homogeneous space X the following conditions are equivalent: 1) X is a densely homogeneous space with a dense complete subspace; 2) X is σ-discretely controlled.

Related

• Metrizable DH-spaces of the first category
• On (strongly) (Θ-)discrete homogeneous spaces
• Non-separable h-homogeneous absolute F_σδ-spaces and G_δσ-spaces
• Products and h-homogeneity
• Homogeneity properties in large compact S-spaces