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