Connectedness properties of dimension level sets

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Bibliographic Details
Title: Connectedness properties of dimension level sets
Authors: Turetsky, Daniel1 dturets@gmail.com
Source: Theoretical Computer Science. Jul2011, Vol. 412 Issue 29, p3598-3603. 6p.
Subjects: Point set theory, Dimensions, Mathematical proofs, Set theory, Mathematical analysis, Computational mathematics
Abstract: Abstract: We prove that the set of all points of effective Hausdorff dimension 1 in is connected, and simultaneously that the complement of this set is not path-connected when . [Copyright &y& Elsevier]
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Database: Engineering Source
Description
Abstract:Abstract: We prove that the set of all points of effective Hausdorff dimension 1 in is connected, and simultaneously that the complement of this set is not path-connected when . [Copyright &y& Elsevier]
ISSN:03043975
DOI:10.1016/j.tcs.2011.03.006