English

Visually-friendly manifolds with arbitrary finite fundamental group

Algebraic Topology 2024-11-12 v1

Abstract

We exhibit a family of metrizable manifolds such that any finite group appears as the fundamental group of one of them. These spaces are especially interesting as they can be easily visualized, as opposed to classical examples of spaces with arbitrary fundamental group.

Keywords

Cite

@article{arxiv.2411.06132,
  title  = {Visually-friendly manifolds with arbitrary finite fundamental group},
  author = {Luca Tanganelli Castrillón},
  journal= {arXiv preprint arXiv:2411.06132},
  year   = {2024}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-28T19:54:11.867Z