Manifolds from Partitions
Geometric Topology
2024-02-05 v2 Discrete Mathematics
Combinatorics
Abstract
If f maps a discrete d-manifold G onto a (k+1)-partite complex P then H(G,f,P),the set of simplices x in G such that f(x) contains at least one facet in P defines a (d-k)-manifold.
Keywords
Cite
@article{arxiv.2401.07435,
title = {Manifolds from Partitions},
author = {Oliver Knill},
journal= {arXiv preprint arXiv:2401.07435},
year = {2024}
}
Comments
12 pages, 8 figures, added more code and statistics example