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Repercussions of a Problem of Erdős and Ulam on Density Ideals

Published online by Cambridge University Press:  20 November 2018

Winfried Just
Winfried Just*
Affiliation:
Department of Mathematics, Ohio University, Athens, OH 45701, U. S. A.
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By P(ω) we denote the Boolean algebra of all subsets of the set ω of natural numbers. We identify each natural number with the set of its predecessors and define: the ideal of sets of density zero, and the ideal of sets of logarithmic density zero.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 5 , 01 October 1990 , pp. 902 - 914
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Erdős, P., My Scottish Book “Problems”. In: The Scotish Book; R. D. Maudlin, éd., Birkhäuser, Boston, (1981).Google Scholar
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6. Just, W., Krawczyk, A., On certain Boolean algebras P(ω)/I, Trans. AMS, 285(1) (1984).Google Scholar