English

Sparse maps

Metric Geometry 2024-08-09 v2

Abstract

We prove a generalization of the Kolmogorov-Barzdin theorem for maps from simplicial complexes into Euclidean space. Along the way we introduce the notion of sparse maps and discuss maps from simplicial complexes with controlled 1-waist.

Keywords

Cite

@article{arxiv.2407.05137,
  title  = {Sparse maps},
  author = {Elia Portnoy},
  journal= {arXiv preprint arXiv:2407.05137},
  year   = {2024}
}
R2 v1 2026-06-28T17:31:27.986Z