On the embeddability of skeleta of manifold triangulations
Abstract
We show a criterion for a skeleton of a manifold triangulation being embeddable into Euclidean space in terms of the complement of a submanifold. As an application, we obtain embeddability of a ( q − 1 ) (q-1) -skeleton of a triangulation of an S p S^p -bundle over S q S^q into R p + q \mathbb {R}^{p+q} .
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Advanced Differential Geometry Research
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 4
- Pages
- 1805–1809
- Publication date
- 9 February 2026
- Language
- EN