Transversals of Infinite Families with Finitely Many Infinite Members

Jon H. Folkman

ResearchPublished 1968

The main theorem of this study gives necessary and sufficient conditions for an infinite family of sets with only finitely many infinite members to have a transversal. It is also shown that the existence of a transversal of an infinite family of sets with only countably many infinite members is equivalent to the existence of a function from the subsets of the index set of one family to the cardinal numbers having certain properties. The most important known results in the area are presented, as well as two examples illustrating the difficulties encountered in attempting to generalize the result.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1968
  • Print Format: Paperback
  • Paperback Pages: 39
  • Paperback Price: $20.00
  • DOI: https://doi.org/10.7249/RM5676
  • Document Number: RM-5676-PR

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RAND Style Manual
Folkman, Jon H., Transversals of Infinite Families with Finitely Many Infinite Members, RAND Corporation, RM-5676-PR, 1968. As of September 23, 2024: https://www.rand.org/pubs/research_memoranda/RM5676.html
Chicago Manual of Style
Folkman, Jon H., Transversals of Infinite Families with Finitely Many Infinite Members. Santa Monica, CA: RAND Corporation, 1968. https://www.rand.org/pubs/research_memoranda/RM5676.html. Also available in print form.
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