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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.13395 |
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| _version_ | 1866913435252424704 |
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| author | Sieg, Waldemar |
| author_facet | Sieg, Waldemar |
| contents | The classical Borsuk's non-retract theorem asserts that a unit sphere in $\mathbb{R}^n$ is not a continuous retract of the unit closed ball. We will show that such a unit sphere is a piecewise continuous retract of the unit closed ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13395 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Borsuk's non-retract theorem Sieg, Waldemar Classical Analysis and ODEs The classical Borsuk's non-retract theorem asserts that a unit sphere in $\mathbb{R}^n$ is not a continuous retract of the unit closed ball. We will show that such a unit sphere is a piecewise continuous retract of the unit closed ball. |
| title | On Borsuk's non-retract theorem |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2407.13395 |