Remarks on the set of Gδ-points in Eberlein and Corson compact spaces

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On function spaces of Corson-compact spaces

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

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2009

ISSN: 0166-8641

DOI: 10.1016/j.topol.2009.02.006