Research indexPreprint
Sparse maps
Portnoy
arXiv (Cornell University)6 Jul 2024Open access
NobleIDark:/48914/w1/20260524/8D863BEDDOI10.48550/arxiv.2407.05137
PreprintOpen access
Sparse maps
Portnoy · arXiv (Cornell University) · 2024
NobleIDark:/48914/w1/20260524/8D863BEDDOI10.48550/arxiv.2407.05137
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.