New perspectives on a classical embedding theorem
Geometric Topology
2025-04-03 v1 Algebraic Topology
Abstract
In this expository note, recent results of Kishimoto and Matsushita on triangulated manifolds are linked to the classical criterion on the normal Stiefel-Whitney classes for existence of an embedding of a smooth closed manifold into Euclidean space of given dimension. We also look back at Atiyah's K-theoretic condition for the existence of a smooth embedding.
Cite
@article{arxiv.2504.01436,
title = {New perspectives on a classical embedding theorem},
author = {M. C. Crabb},
journal= {arXiv preprint arXiv:2504.01436},
year = {2025}
}