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Displaying similar documents to “On π -images of metric spaces.”

A sufficient condition of full normality

Tomáš Kaiser (1996)

Commentationes Mathematicae Universitatis Carolinae

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We present a direct constructive proof of full normality for a class of spaces (locales) that includes, among others, all metrizable ones.

On D-dimension of metrizable spaces

Wojciech Olszewski (1991)

Fundamenta Mathematicae

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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 ) .