Domination of manifolds by hypersurfaces
Geometric Topology
2025-12-11 v1 Algebraic Topology
Differential Geometry
Abstract
In this short note we prove that any smooth, closed, oriented manifold can be dominated by a codimension 1 submanifold of the sphere.
Keywords
Cite
@article{arxiv.2512.09146,
title = {Domination of manifolds by hypersurfaces},
author = {Vasilii Rozhdestvenskii},
journal= {arXiv preprint arXiv:2512.09146},
year = {2025}
}
Comments
2 pages, comments are welcome