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Covering the real line with translates of a zero-dimensional compact set
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Máthé, András. (2011) Covering the real line with translates of a zero-dimensional compact set. Fundamenta Mathematicae , Vol.213 (No.3). pp. 213-219. ISSN 0016-2736
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Official URL: http://dx.doi.org/10.4064/fm213-3-2
Abstract
We construct a compact set C of Hausdorff dimension zero such that cof(N) many translates of C cover the real line. Hence it is consistent with ZFC that less than continuum many translates of a zero-dimensional compact set can cover the real line. This answers a question of Dan Mauldin.
| Item Type: | Journal Article |
|---|---|
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Fundamenta Mathematicae |
| Publisher: | Polska Akademia Nauk |
| ISSN: | 0016-2736 |
| Date: | 2011 |
| Volume: | Vol.213 |
| Number: | No.3 |
| Number of Pages: | 7 |
| Page Range: | pp. 213-219 |
| Identification Number: | 10.4064/fm213-3-2 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Hungarian Scientific Research Fund |
| Grant number: | T 72655 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/39691 |
Data sourced from Thomson Reuters' Web of Knowledge
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