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A finite set covering theorem

Published online by Cambridge University Press:  17 April 2009

Alan Brace
Affiliation:
University of Western Australia, Nedlands, Western Australia;
D.E. Daykin
Affiliation:
University of Reading, Reading, England.
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Abstract

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Let n, s, t be integers with s > t > 1 and n > (t+2)2S−t−l We prove that if n subsets of a set S with s elements have union S then some t of them have union S. The result is best possible.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1971