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On the closure of a plane ray that limits onto itself

General Topology 2025-10-09 v2

Abstract

We show that the closure of any self-entwined ray in the plane must contain a Cantor set of mutually disjoint continua. This is false in dimension three.

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Cite

@article{arxiv.2509.13598,
  title  = {On the closure of a plane ray that limits onto itself},
  author = {David S. Lipham},
  journal= {arXiv preprint arXiv:2509.13598},
  year   = {2025}
}

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9 pages