Geodesic
Classical-type characterizations of non-metrizable ${\rm ANE}(n)$-spaces
Fundamenta Mathematicae, Tome 145 (1994) no. 3, pp. 243-259 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The Kuratowski-Dugundji theorem that a metrizable space is an absolute (neighborhood) extensor in dimension n iff it is $LC^{n-1} \ C^{n-1}$ (resp., $LC^{n-1}$) is extended to a class of non-metrizable absolute (neighborhood) extensors in dimension $n$. On this base, several facts concerning metrizable extensors are established for non-metrizable ones.
DOI : 10.4064/fm-145-3-243-259
Keywords: absolute (neighborhood) extensor in dimension n, n-regular base, n-regular extension operator

Valentin Gutev 1 ; Vesko Valov 1

1 
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Valentin Gutev; Vesko Valov. Classical-type characterizations of non-metrizable ${\rm ANE}(n)$-spaces. Fundamenta Mathematicae, Tome 145 (1994) no. 3, pp. 243-259. doi: 10.4064/fm-145-3-243-259

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