A substitute for Hall's theorem for families with infinite sets

Saharon Shelah

doi:10.1016/0097-3165(74)90044-2

A substitute for Hall's theorem for families with infinite sets

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A sufficient condition for the existence of a system of distinct representatives for a family S is that x ε{lunate} A ε{lunate} S implies the number of elements of A is not smaller than the number of sets in S to which x belongs.

Original language	English
Pages (from-to)	199-208
Number of pages	10
Journal	Journal of Combinatorial Theory. Series A
Volume	16
Issue number	2
DOIs	https://doi.org/10.1016/0097-3165(74)90044-2
State	Published - Mar 1974

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abstract = "A sufficient condition for the existence of a system of distinct representatives for a family S is that x ε\{lunate\} A ε\{lunate\} S implies the number of elements of A is not smaller than the number of sets in S to which x belongs.",

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A substitute for Hall's theorem for families with infinite sets

Abstract

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