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The Class of Purely Unrectifiable Sets in the Hilbert Space is coanalytic-complete

Classical Analysis and ODEs 2013-03-18 v1 Logic

Abstract

The space F(2)F(\ell_2) of all closed subsets of 2\ell_2 is a Polish space. We show that the subset PF(2)P\subset F(\ell_2) consisting of the purely 1-unrectifiable sets is \Pii\Pii-complete.

Keywords

Cite

@article{arxiv.1303.3620,
  title  = {The Class of Purely Unrectifiable Sets in the Hilbert Space is coanalytic-complete},
  author = {Vadim Kulikov},
  journal= {arXiv preprint arXiv:1303.3620},
  year   = {2013}
}

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10 pages