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oai:docta.ucm.es:20.500.14352/574922023-12-15T12:25:05Zcom_20.500.14352_14col_20.500.14352_15

On continued fractions and the Sorgenfrey line. Gallego Lupiáñez, Francisco 515.1 511 Total paracompactness Continued fractions Sorgenfrey line Teoría de números Topología 1205 Teoría de Números 1210 Topología 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:56:58Z 2023-06-20T16:56:58Z 1990 journal article https://hdl.handle.net/20.500.14352/57492 0918-4732 metadata only access Symposium of General Topology