English

The Nadler-Quinn problem for simplicial inverse systems

General Topology 2023-11-27 v1

Abstract

We show that if XX is an arc-like continuum which can be represented as an inverse limit of a simplicial inverse system on arcs, then for every point xXx \in X there is a plane embedding of XX in which xx is accessible. This answers a special case of the Nadler-Quinn question from 1972.

Cite

@article{arxiv.2311.14128,
  title  = {The Nadler-Quinn problem for simplicial inverse systems},
  author = {Andrea Ammerlaan and Ana Anušić and Logan C. Hoehn},
  journal= {arXiv preprint arXiv:2311.14128},
  year   = {2023}
}

Comments

20 pages, 4 figures. arXiv admin note: text overlap with arXiv:2306.15191

R2 v1 2026-06-28T13:29:43.857Z