On D-dimension of metrizable spaces
Olszewski, Wojciech
Fundamenta Mathematicae, Tome 138 (1991), p. 35-48 / Harvested from The Polish Digital Mathematics Library
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For every cardinal τ and every ordinal α, we construct a metrizable space Mα(τ) and a strongly countable-dimensional compact space Zα(τ) of weight τ such that D(Mα(τ))≤α, D(Zα(τ))≤α and each metrizable space X of weight τ such that D(X) ≤ α is homeomorphic to a subspace of Mα(τ) and to a subspace of Zα+1(τ).

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:211927 
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     title = {On D-dimension of metrizable spaces},
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     volume = {138},
     year = {1991},
     pages = {35-48},
     zbl = {0807.54007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv140i1p35bwm}
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Olszewski, Wojciech. On D-dimension of metrizable spaces. Fundamenta Mathematicae, Tome 138 (1991) pp. 35-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv140i1p35bwm/

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