The Dugundji extension property can fail in $ω_μ$ -metrizable spaces
Volume 150 / 1996
Fundamenta Mathematicae 150 (1996), 11-16
DOI: 10.4064/fm-150-1-11-16
Abstract
We show that there exist $ω_μ$-metrizable spaces which do not have the Dugundji extension property ($2^{ω_1}$ with the countable box topology is such a space). This answers a question posed by the second author in 1972, and shows that certain results of van Douwen and Borges are false.
