- Title
- Erds-liouville sets
- Creator
- Chalebgwa, Taboka; Morris, Sidney
- Date
- 2023
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/195110
- Identifier
- vital:18464
- Identifier
-
https://doi.org/10.1017/S0004972722001009
- Identifier
- ISSN:0004-9727 (ISSN)
- Abstract
- In 1844, Joseph Liouville proved the existence of transcendental numbers. He introduced the set L of numbers, now known as Liouville numbers, and showed that they are all transcendental. It is known that L has cardinality c, the cardinality of the continuum, and is a dense G
- Publisher
- Cambridge University Press
- Relation
- Bulletin of the Australian Mathematical Society Vol. 107, no. 2 (2023), p. 284-289
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- https://creativecommons.org/licenses/by/4.0/
- Rights
- Copyright © The Author(s), 2022
- Rights
- Open Access
- Subject
- 49 Mathematical sciences; Erdos property; Euclidean topology; Irrational number; Liouville set; Transcendental number
- Full Text
- Reviewed
- Funder
- The first author’s research is supported by the Fields Institute for Research in Mathematical Sciences, via the Fields-Ontario postdoctoral Fellowship.
- Hits: 737
- Visitors: 745
- Downloads: 31
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | SOURCE1 | Published version | 233 KB | Adobe Acrobat PDF | View Details Download |