Small covers as pullbacks from the simplex
Algebraic Topology
2026-04-16 v1
Abstract
We introduce and study small covers that are pullbacks from the simplex, extending pullbacks from the linear model. Our main result gives several equivalent characterizations of this class, including torsion-freeness of odd-degree integral cohomology, vanishing of the first Steenrod square on even-degree mod cohomology, and relations among integral and mod Betti numbers.
Keywords
Cite
@article{arxiv.2604.13437,
title = {Small covers as pullbacks from the simplex},
author = {Suyoung Choi and Hyeontae Jang and Younghan Yoon},
journal= {arXiv preprint arXiv:2604.13437},
year = {2026}
}
Comments
13 pages, 1 table