Some counterexamples in surface homology
Geometric Topology
2024-09-23 v3 Algebraic Topology
Abstract
We present four counterexamples in surface homology. The first example shows that even if the loops inducing a homology basis intersect each other at most once, they still may separate the surface into two parts. The other three examples show some difficulties in working with minimal homology bases.
Cite
@article{arxiv.2304.13256,
title = {Some counterexamples in surface homology},
author = {Peter Buser and Eran Makover and Bjoern Muetzel},
journal= {arXiv preprint arXiv:2304.13256},
year = {2024}
}
Comments
15 pages, 9 figures, extended version, Manuscripta Mathematica