On covering dimension and sections of vector bundles
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911815070384128 |
|---|---|
| author | Crabb, M. C. |
| author_facet | Crabb, M. C. |
| contents | An elementary result in point-set topology is used, with knowledge of the mod $2$ cohomology of real projective spaces, to establish classical results of Lebesgue and Knaster-Kuratowski-Mazurkiewicz, as well as the topological central point theorem of Karasev, which is applied to deduce results of Helly-Lovász, Bárány and Tverberg |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_14492 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On covering dimension and sections of vector bundles Crabb, M. C. Algebraic Topology 55R25, 54F45, 55M10, 55R40, 55M30 An elementary result in point-set topology is used, with knowledge of the mod $2$ cohomology of real projective spaces, to establish classical results of Lebesgue and Knaster-Kuratowski-Mazurkiewicz, as well as the topological central point theorem of Karasev, which is applied to deduce results of Helly-Lovász, Bárány and Tverberg |
| title | On covering dimension and sections of vector bundles |
| topic | Algebraic Topology 55R25, 54F45, 55M10, 55R40, 55M30 |
| url | https://arxiv.org/abs/2302.14492 |