New perspectives on a classical embedding theorem
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908296310423552 |
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| author | Crabb, M. C. |
| author_facet | Crabb, M. C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New perspectives on a classical embedding theorem Crabb, M. C. Geometric Topology Algebraic Topology 55R25, 55S40, 57R40, 57Q15, 57Q35, 55M25, 55M35 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. |
| title | New perspectives on a classical embedding theorem |
| topic | Geometric Topology Algebraic Topology 55R25, 55S40, 57R40, 57Q15, 57Q35, 55M25, 55M35 |
| url | https://arxiv.org/abs/2504.01436 |