Universidad Complutense de Madrid
E-Prints Complutense

On continued fractions and the Sorgenfrey line.



Downloads per month over past year

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


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
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

Origin of downloads

Repository Staff Only: item control page