English

Augmentation Lemma for Halin Conjecture

Combinatorics 2026-03-31 v2

Abstract

The longstanding conjecture of Halin characterizing the existence of normal spanning trees in infinite graphs has been recently proved by Max Pitz [3]. A critical step in the proof involves the construction of dominated torsos, whose properties are essential to the overall proof. In this note, we provide a correction to the proof of a key property of this construction.

Keywords

Cite

@article{arxiv.2603.25513,
  title  = {Augmentation Lemma for Halin Conjecture},
  author = {Jerzy Wojciechowski},
  journal= {arXiv preprint arXiv:2603.25513},
  year   = {2026}
}
R2 v1 2026-07-01T11:39:21.975Z