%0 Journal Article %A Gallego Lupiáñez, Francisco %T On continued fractions and the Sorgenfrey line. %D 1990 %@ 0918-4732 %U https://hdl.handle.net/20.500.14352/57492 %X We define a modification of continued fractions such that the lexicographic order coincides with the linear order of real numbers. Using this representation, we obtain a new proof of the theorem which shows that the Sorgenfrey line is not totally paracompact. %~