The field structure of the real number system

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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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.

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Deposited On:24 May 2011 06:35
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