Geodesic
On D-dimension of metrizable spaces
Fundamenta Mathematicae, Tome 140 (1991) no. 1, pp. 35-48

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For every cardinal τ and every ordinal α, we construct a metrizable space $M_α(τ)$ and a strongly countable-dimensional compact space $Z_α(τ)$ of weight τ such that $D(M_α(τ)) ≤ α$, $D(Z_α(τ)) ≤ α$ and each metrizable space X of weight τ such that D(X) ≤ α is homeomorphic to a subspace of $M_α(τ)$ and to a subspace of $Z_{α+1}(τ)$.
DOI : 10.4064/fm-140-1-35-48

Wojciech Olszewski 1

1 
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Wojciech Olszewski. On D-dimension of metrizable spaces. Fundamenta Mathematicae, Tome 140 (1991) no. 1, pp. 35-48. doi: 10.4064/fm-140-1-35-48

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