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

Journal:
Questions and answers in general topology

ISSN: 0918-4732

Year of publication: 1990

Volume: 8

Issue: 2

Pages: 457-465

Type: Article

GOOGLE SCHOLAR

More publications in: Questions and answers in general topology

Abstract

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.