Gallego Lupiáñez, Francisco2023-06-202023-06-2019900918-4732https://hdl.handle.net/20.500.14352/57492We 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.journal articlehttp://qagt.za.org/contributorsmetadata only access515.1511Total paracompactnessContinued fractionsSorgenfrey lineTeoría de númerosTopología1205 Teoría de Números1210 Topología