Necessary and sufficient conditions for transversals of countable set systems

DOI10.1016/0097-3165(74)90100-9zbMath0303.05004OpenAlexW2058633788MaRDI QIDQ1216396

M. R. Damerell, Eric C. Milner

Publication date: 1974

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(74)90100-9

Mathematics Subject Classification ID

Permutations, words, matrices (05A05)

Related Items

Hall families and the marriage problem ⋮ Representing matrices ⋮ Infinite matching theory ⋮ Matchings from a set below to a set above ⋮ A continuous generalization of the transversal property ⋮ Marriage in denumerable societies ⋮ Independent transversals for countable set systems ⋮ Ergebnisse aus der Transversalentheorie. I, II ⋮ Injective choice functions for countable families ⋮ Decomposition of infinite matrices ⋮ Menger's theorem for infinite graphs ⋮ On the equivalence of two conditions for the existence of transversals

Cites Work

• Some notes on Feinberg's k-independence problem
• On Representatives of Subsets
• Exchange systems, matchings, and transversals
• Transversals of infinite families with finitely many infinite members
• Distinct representatives of subsets
• Unnamed Item