The converse to Borsuk's result on fans fails
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915936517226496 |
|---|---|
| author | Vejnar, Benjamin |
| author_facet | Vejnar, Benjamin |
| contents | A fan is an arc-wise connected hereditarily unicoherent continuum with exactly one branching point. By a result of Borsuk, every fan is a 1-dimensional continuum that can be expressed as the union of a family of arcs, each pair of which intersects in the branching point. In this paper, we prove that the converse does not hold by providing a more general result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12517 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The converse to Borsuk's result on fans fails Vejnar, Benjamin General Topology 54F50 A fan is an arc-wise connected hereditarily unicoherent continuum with exactly one branching point. By a result of Borsuk, every fan is a 1-dimensional continuum that can be expressed as the union of a family of arcs, each pair of which intersects in the branching point. In this paper, we prove that the converse does not hold by providing a more general result. |
| title | The converse to Borsuk's result on fans fails |
| topic | General Topology 54F50 |
| url | https://arxiv.org/abs/2604.12517 |