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 |