Strongly metrizable spaces of large dimension each separable subspace of which is zero-dimensional
نویسندگان
چکیده
منابع مشابه
Irreducible representations of metrizable spaces and strongly countable-dimensional spaces
We generalize Freudenthal’s theory of irreducible representations of metrizable compacta by inverse sequences of compact polyhedra to the class of all metrizable spaces. Our representations consist of inverse sequences of completely metrizable polyhedra which are ANR’s. They are extendable: any such representation of a closed subspace of a given metrizable space extends to another such of the e...
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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).
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1978
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-39-1-25-27