Israel Journal of Mathematics

, Volume 33, Issue 1, pp 1–4 | Cite as

On αβ-sets

  • Y. Katznelson


A closed setET is an αβ-set, where α and β are elements of infinite order inT ifEE−α). ∪ (E−β). We give two constructions of “thin” αβ-sets.


Boundary Point Open Interval Hausdorff Dimension Infinite Order Typical Step 
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Copyright information

© Hebrew University 1979

Authors and Affiliations

  • Y. Katznelson
    • 1
  1. 1.The Hebrew University of JerusalemJerusalemIsrael

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