The Dugundji extension property can fail in ωµ -metrizable spaces
Ian Stares, Jerry Vaughan (1996)
Fundamenta Mathematicae
Similarity:
We show that there exist -metrizable spaces which do not have the Dugundji extension property ( 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.