Lupianez, Francisco (2001) Continued fractions and order-preserving homeomorphism. Journal of Computational and Applied Mathematics, 136 (1-2). pp. 255-258. ISSN 0377-0427
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We study in this paper a modification of continued fractions defined by the author, such that its lexicographic order coincides with the linear order of real numbers. This fact has beautiful consequences in Topology. Indeed, it gives the possibility to construct a nice open basis for the Sorgenfrey line.
|Uncontrolled Keywords:||Continued fractions; Topology; Open basis|
|Subjects:||Sciences > Mathematics > Number theory|
Sciences > Mathematics > Topology
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|Deposited On:||22 May 2012 11:49|
|Last Modified:||22 May 2012 11:49|
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