A compactness result for perfect matchings (Q1106214)

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scientific article; zbMATH DE number 4061243
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English
A compactness result for perfect matchings
scientific article; zbMATH DE number 4061243

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    A compactness result for perfect matchings (English)
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    1987
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    This paper shows that an infinite set system (V,\({\mathcal E})\), for which \({\mathcal E}\) is a subspace of the vector space of all finite subsets of V, has a perfect matching if and only if every finite subset of V is covered by a matching of (V,\({\mathcal E})\).
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    infinite set system
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    vector space of all finite subsets
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    perfect matching
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