A fake Klein bottle with bubble
Algebraic Topology
2025-11-18 v4
Abstract
We resolve the question of the existence of a finite 2-complex with the same fundamental group and Euler characteristic as a Klein bottle with a bubble, but homotopically distinct to it.
Cite
@article{arxiv.2308.11067,
title = {A fake Klein bottle with bubble},
author = {Wajid Mannan},
journal= {arXiv preprint arXiv:2308.11067},
year = {2025}
}
Comments
9 pages, 4 figures. Published in Bulletin of the LMS