Embedding simply connected 2-complexes in 3-space -- I. A Kuratowski-type characterisation
Combinatorics
2019-09-05 v3 Geometric Topology
Abstract
We characterise the embeddability of simply connected locally 3-connected 2-dimensional simplicial complexes in 3-space in a way analogous to Kuratowski's characterisation of graph planarity, by excluded minors. This answers questions of Lov\'asz, Pardon and Wagner.
Keywords
Cite
@article{arxiv.1709.04642,
title = {Embedding simply connected 2-complexes in 3-space -- I. A Kuratowski-type characterisation},
author = {Johannes Carmesin},
journal= {arXiv preprint arXiv:1709.04642},
year = {2019}
}