Gallego Lupiáñez, Francisco2023-06-202023-06-2020010377-042710.1016/S0377-0427(00)00617-8https://hdl.handle.net/20.500.14352/57253We study in this paper a modification of continued fractions defined by the author, such that its lexicographic order coincides with the linear order of real numbers. This fact has beautiful consequences in Topology. Indeed, it gives the possibility to construct a nice open basis for the Sorgenfrey line.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0377042700006178http://www.sciencedirect.comrestricted access511515.1Continued fractionsTopologyOpen basisTeoría de númerosTopología1205 Teoría de Números1210 Topología