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Repercussions of a Problem of Erdős and Ulam on Density Ideals

  • Winfried Just (a1)

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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.

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References

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1. Erdős, P., My Scottish Book “Problems”. In: The Scotish Book; R. D. Maudlin, éd., Birkhäuser, Boston, (1981).
2. Just, W., Ph. D. Thesis (in Polish), University of Warsaw, (1987).
3. Just, W., The space (ω*)n+l is not always a continuous image of(ω*)n . Fund. Math. 132 (1989) 5972.
4. Just, W., Nowhere dense P-subsets ofω* , Proc. AMS, 104(4) (1989) 11451146.
5. Just, W., A modification of Shelah's oraclec. c. with applications , Trans. AMS, (to appear).
6. Just, W., Krawczyk, A., On certain Boolean algebras P(ω)/I, Trans. AMS, 285(1) (1984).
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Repercussions of a Problem of Erdős and Ulam on Density Ideals

  • Winfried Just (a1)

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