On D-dimension of metrizable spaces

• Autorzy: Wojciech Olszewski
• Języki publikacji: EN

Abstrakty

EN

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 $Z_{α+1}(τ)$.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1991-1992
• Tom: 140
• Numer: 1
• Strony: 35-48

Daty

wydano

1991

otrzymano

1990-09-20

otrzymano

1991-06-13

Twórcy

autor

Wojciech Olszewski

• Department of Mathematics, University of Warsaw, Banacha 2, 00-913 Warszawa 59, Poland

Bibliografia

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• [9] W. Olszewski, Universal spaces for locally finite-dimensional and strongly countable-dimensional metrizable spaces, ibid. 135 (1990), 97-109.
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• [11] W. Sierpiński, Cardinal and Ordinal Numbers, PWN, Warszawa 1965.