Domination of manifolds by hypersurfaces

Fuente: arXiv
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Autor principal: Rozhdestvenskii, Vasilii
Formato: Preprint
Publicado: 2025
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author Rozhdestvenskii, Vasilii
author_facet Rozhdestvenskii, Vasilii
contents In this short note we prove that any smooth, closed, oriented manifold can be dominated by a codimension 1 submanifold of the sphere.
format Preprint
id arxiv_https___arxiv_org_abs_2512_09146
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Domination of manifolds by hypersurfaces
Rozhdestvenskii, Vasilii
Geometric Topology
Algebraic Topology
Differential Geometry
57R19, 57R95
In this short note we prove that any smooth, closed, oriented manifold can be dominated by a codimension 1 submanifold of the sphere.
title Domination of manifolds by hypersurfaces
topic Geometric Topology
Algebraic Topology
Differential Geometry
57R19, 57R95
url https://arxiv.org/abs/2512.09146