Literaturnachweis - Detailanzeige
| Autor/inn/en | Mathes, Ben; Dow, Chris; Livshits, Leo |
|---|---|
| Titel | Cantor Groups |
| Quelle | In: College Mathematics Journal, 42 (2011) 1, S.60-61 (2 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0746-8342 |
| DOI | 10.4169/college.math.j.42.1.060 |
| Schlagwörter | Television; Item Response Theory; Mathematics Education; Higher Education; Algebra; College Mathematics |
| Abstract | The Cantor subset of the unit interval [0, 1) is "large" in cardinality and also "large" algebraically, that is, the smallest subgroup of [0, 1) generated by the Cantor set (using addition mod 1 as the group operation) is the whole of [0, 1). In this paper, we show how to construct Cantor-like sets which are "large" in cardinality but "small" algebraically. In fact for the set we construct, the subgroup of [0, 1) that it generates is, like the Cantor set itself, nowhere dense in [0, 1). (As Provided). |
| Anmerkungen | Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2017/4/10 |
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