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The field structure of the real number system
Published online by Cambridge University Press: 09 April 2009
Extract
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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- Copyright © Australian Mathematical Society 1967