Geodesic
The Dugundji extension property can fail in $ω_μ$ -metrizable spaces
Fundamenta Mathematicae, Tome 150 (1996) no. 1, pp. 11-16

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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.
DOI : 10.4064/fm-150-1-11-16
Keywords: Dugundji extension theorem, $ω_μ$-metrizable spaces, box topology, Baire category, Michael line

Ian S. Stares 1 ; Jerry E. Vaughan 1

1 
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Ian S.  Stares; Jerry E.  Vaughan. The Dugundji extension property can fail in $ω_μ$ -metrizable spaces. Fundamenta Mathematicae, Tome 150 (1996) no. 1, pp. 11-16. doi: 10.4064/fm-150-1-11-16

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