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On function spaces of Corson-compact spaces

Ingo Bandlow (1994)

Commentationes Mathematicae Universitatis Carolinae

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].

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