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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.03767 |
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| _version_ | 1866908352240418816 |
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| author | Danielyan, Arthur A. |
| author_facet | Danielyan, Arthur A. |
| contents | Does there exist an increasing absolutely continuous function, $f: [0,1] \rightarrow \mathbb R$ such that $\{x: f'(x)=0\}$ is both countable and dense? This problem was proposed by F.S. Cater about two decades ago. We give an affirmative answer to the problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03767 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An affirmative answer to a problem of Cater Danielyan, Arthur A. General Mathematics Does there exist an increasing absolutely continuous function, $f: [0,1] \rightarrow \mathbb R$ such that $\{x: f'(x)=0\}$ is both countable and dense? This problem was proposed by F.S. Cater about two decades ago. We give an affirmative answer to the problem. |
| title | An affirmative answer to a problem of Cater |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2505.03767 |