On D-dimension of metrizable spaces

Volume 140 / 1991

Wojciech Olszewski Fundamenta Mathematicae 140 (1991), 35-48 DOI: 10.4064/fm-140-1-35-48


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 $Z_{α+1}(τ)$.


  • Wojciech Olszewski

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