Connectedness properties of dimension level sets

نویسنده

  • Daniel Turetsky
چکیده

We prove that the set of all points of effective Hausdorff dimension 1 in Rn (n ≥ 2) is connected, and simultaneously that the complement of this set is not path-connected when n = 2.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 412  شماره 

صفحات  -

تاریخ انتشار 2011