What is it about?
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.
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Why is it important?
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.
Perspectives
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.
Francisco Gallego Lupianez
University Complutense
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This page is a summary of: Continued fractions and order-preserving homeomorphism, Journal of Computational and Applied Mathematics, November 2001, Elsevier,
DOI: 10.1016/s0377-0427(00)00617-8.
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