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The Parallel Wall Theorem for CAT(0) even 2-complexes

Metric Geometry 2025-10-10 v1 Group Theory

Abstract

We prove the Parallel Wall Theorem for CAT(0) 2-complexes constructed by regular polygons with an even number of sides. This result extends a combination of the works of Janzen and Wise and Hruska and Wise.

Keywords

Cite

@article{arxiv.2510.07448,
  title  = {The Parallel Wall Theorem for CAT(0) even 2-complexes},
  author = {Carl Kristof-Tessier},
  journal= {arXiv preprint arXiv:2510.07448},
  year   = {2025}
}

Comments

15 pages, 8 figures

R2 v1 2026-07-01T06:24:57.135Z