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Lupianez, Francisco Gallego
(1990)
*On continued fractions and the Sorgenfrey line.*
Questions and answers in general topology , 8
(2).
pp. 457-465.
ISSN 0918-4732

Official URL: http://qagt.za.org/contributors

## 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.

Item Type: | Article |
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Uncontrolled Keywords: | Total paracompactness; Continued fractions; Sorgenfrey line |

Subjects: | Sciences > Mathematics > Number theory Sciences > Mathematics > Topology |

ID Code: | 16203 |

Deposited On: | 10 Sep 2012 11:42 |

Last Modified: | 12 Dec 2018 15:13 |

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