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Orthogonal Families of Sets

Published online by Cambridge University Press:  20 November 2018

John Marica
John Marica*
Affiliation:
University of Calgary, Calgary, Alberta
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In this note we answer in the affirmative the following question.

If S is a finite family of sets such that each subset of a member of S also belongs to S, is it possible to arrange the sets in pairs so that the first member of the pair is contained in the complement of the second member?

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 573
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Marica, J. and Schönheim, J., Differences of sets and a problem of Graham, Canad. Math. Bull. (5), 12 (1969), 635-637.Google Scholar