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    On the minimal covering of infinite sets

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    AbstractMinimal covering of infinite sets is studied. It is shown that if M⊂2X is closed, then M contains a minimal covering of X. If M is a covering of X, then M is closed on X if and only if there is an admissible function ƒ: X→M which has no chain.For star type set systems Theorem 15 gives a sufficient condition to contain finite covering

    On the minimal covering of infinite sets

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