Venkataraman, M. ; Soundararajan, T. (1967) The field structure of the real number system Journal of the Australian Mathematical Society, 7 (3). pp. 258-262. ISSN 1446-7887
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Related URL: http://dx.doi.org/10.1017/S1446788700004109
Abstract
It is well-known that the real number system can be characterised as a topological space [1], [3], as an ordered set [2], and as an ordered field [4]. It is the aim of this note to give two characterisations of the system purely as a field (see Theorems 4 and 9) without any extra notion of order, topology, et cetera.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Australian Mathematical Society. |
| ID Code: | 40459 |
| Deposited On: | 24 May 2011 06:35 |
| Last Modified: | 05 Jun 2012 15:03 |
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