The Set of Universal Interpolating Functions is Nowhere Dense
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912884690255872 |
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| author | Olsen, Lars Pugh, Noah Strout, Nathaniel |
| author_facet | Olsen, Lars Pugh, Noah Strout, Nathaniel |
| contents | In 1998, Benyamini introduced and proved the existence of universal interpolating functions. In the note we prove that the set of universal interpolating functions is nowhere dense in the space of continuous functions on $\mathbb{R}$. Several extensions and generalisations are also considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06752 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Set of Universal Interpolating Functions is Nowhere Dense Olsen, Lars Pugh, Noah Strout, Nathaniel General Topology In 1998, Benyamini introduced and proved the existence of universal interpolating functions. In the note we prove that the set of universal interpolating functions is nowhere dense in the space of continuous functions on $\mathbb{R}$. Several extensions and generalisations are also considered. |
| title | The Set of Universal Interpolating Functions is Nowhere Dense |
| topic | General Topology |
| url | https://arxiv.org/abs/2602.06752 |