Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-11T03:25:19.944Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
2. Just, W., Ph. D. Thesis (in Polish), University of Warsaw, (1987).Google Scholar
3. Just, W., The space (ω*)n+l is not always a continuous image of(ω*)n . Fund. Math. 132 (1989) 59–72.Google Scholar
4. Just, W., Nowhere dense P-subsets ofω* , Proc. AMS, 104(4) (1989) 1145–1146.Google Scholar
5. Just, W., A modification of Shelah's oracle —c. c. with applications , Trans. AMS, (to appear).Google Scholar
6. Just, W., Krawczyk, A., On certain Boolean algebras P(ω)/I, Trans. AMS, 285(1) (1984).Google Scholar