The field structure of the real number system
1967 ◽
Vol 7
(3)
◽
pp. 258-262
Keyword(s):
The Real
◽
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.
2020 ◽
Vol 1470
◽
pp. 012070