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On the equivalence of two conditions for the existence of transversals

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Publication:1055410
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DOI10.1016/0097-3165(83)90056-0zbMath0521.05002OpenAlexW2016278422MaRDI QIDQ1055410

Ron Aharoni

Publication date: 1983

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(83)90056-0


zbMATH Keywords

transversalfamily of setscritical subfamilies


Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Other combinatorial set theory (03E05)


Related Items (3)

On k-transversals ⋮ Infinite matching theory ⋮ On an obstruction for perfect matchings



Cites Work

  • Unnamed Item
  • Necessary and sufficient conditions for transversals of countable set systems
  • Injective choice functions for countable families
  • Strong transfinite version of König's duality theorem
  • Maximal Representable Subfamilies
  • Another Criterion for Marriage in Denumerable Societies
  • On Representatives of Subsets
  • Distinct representatives of subsets


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