Embedding simply connected 2-complexes in 3-space -- II. Rotation systems
Combinatorics
2019-09-05 v3 Geometric Topology
Abstract
We prove that 2-dimensional simplicial complexes whose first homology group is trivial have topological embeddings in 3-space if and only if there are embeddings of their link graphs in the plane that are compatible at the edges and they are simply connected.
Cite
@article{arxiv.1709.04643,
title = {Embedding simply connected 2-complexes in 3-space -- II. Rotation systems},
author = {Johannes Carmesin},
journal= {arXiv preprint arXiv:1709.04643},
year = {2019}
}