Displaying similar documents to “Embedding into discretely absolutely star-Lindelöf spaces”

On function spaces of Corson-compact spaces

Ingo Bandlow (1994)

Commentationes Mathematicae Universitatis Carolinae

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We apply elementary substructures to characterize the space C p ( X ) for Corson-compact spaces. As a result, we prove that a compact space X is Corson-compact, if C p ( X ) can be represented as a continuous image of a closed subspace of ( L τ ) ω × Z , where Z is compact and L τ denotes the canonical Lindelöf space of cardinality τ with one non-isolated point. This answers a question of Archangelskij [2].

Condensations of Cartesian products

Oleg I. Pavlov (1999)

Commentationes Mathematicae Universitatis Carolinae

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We consider when one-to-one continuous mappings can improve normality-type and compactness-type properties of topological spaces. In particular, for any Tychonoff non-pseudocompact space X there is a μ such that X μ can be condensed onto a normal ( σ -compact) space if and only if there is no measurable cardinal. For any Tychonoff space X and any cardinal ν there is a Tychonoff space M which preserves many properties of X and such that any one-to-one continuous image of M μ , μ ≤ ν , contains a...