On essential simplicial maps $S^3 \rightarrow S^2$
Algebraic Topology
2025-12-10 v1
Abstract
A fiber-uniform bound on the complexity of an essential simplicial map is proven, and the tightness of the bound is investigated. It follows that the triangulation of the Hopf map constructed by Madahar and Sarkaria is minimal in its homotopy class in terms of the number of 3-simplices in the triangulation of .
Keywords
Cite
@article{arxiv.2512.08584,
title = {On essential simplicial maps $S^3 \rightarrow S^2$},
author = {Mikhail V. Bludov and Sergei Vad. Fomin and Oleg R. Musin},
journal= {arXiv preprint arXiv:2512.08584},
year = {2025}
}
Comments
6 pages