On the arboricity of manifolds
Geometric Topology
2023-10-24 v1 Combinatorics
Abstract
The arboricity of a discrete 2-sphere is always 3. The arboricity of any other discrete 2-dimensional surface is always 4. For d-manifolds of dimension larger than 2, the arboricity can be arbitrary large and must be larger than d.
Cite
@article{arxiv.2310.14445,
title = {On the arboricity of manifolds},
author = {Oliver Knill},
journal= {arXiv preprint arXiv:2310.14445},
year = {2023}
}
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12 pages