On continued fractions and the Sorgenfrey line

  1. Francisco Gallego Lupiañez 1
  1. 1 Universidad Complutense de Madrid
    info

    Universidad Complutense de Madrid

    Madrid, España

    ROR 02p0gd045

Revista:
Questions and answers in general topology

ISSN: 0918-4732

Any de publicació: 1990

Volum: 8

Número: 2

Pàgines: 457-465

Tipus: Article

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Altres publicacions en: Questions and answers in general topology

Resum

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.