Displaying similar documents to “A note on spaces with locally countable weak-bases.”

Semiring of Sets: Examples

Roland Coghetto (2014)

Formalized Mathematics

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This article proposes the formalization of some examples of semiring of sets proposed by Goguadze [8] and Schmets [13].

Countably metacompact spaces in the constructible universe

Paul Szeptycki (1993)

Fundamenta Mathematicae

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We present a construction from ♢* of a first countable, regular, countably metacompact space with a closed discrete subspace that is not a G δ . In addition some nonperfect spaces with σ-disjoint bases are constructed.

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 ) .