Biblioteca de la Universidad Complutense de Madrid

Continued fractions and order-preserving homeomorphism.

Impacto

Lupianez, Francisco Gallego (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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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0377042700006178




Resumen

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.


Tipo de documento:Artículo
Palabras clave:Continued fractions; Topology; Open basis
Materias:Ciencias > Matemáticas > Teoría de números
Ciencias > Matemáticas > Topología
Código ID:15302
Referencias:

M.Khalouani, S.Labhalla, H.Lombardi, L Etude constructive de problMemes de topologie pour les rLeels irrationnels, Math.Logic Quart.45 (1999) 257–288.

S.Labhalla, H.Lombardi, Real numbers, continued fractions and complexity classes, Ann.Pure Appl.Logic 50 (1990) 1–28.

F.G. LupiLa˜nez, On continued fractions and the Sorgenfrey line, Quest.& Ans.Gen.Topology 8 (1990) 457–465.

N.Lusin, Sur les emsembles analytiques, Fund.Math.10 (1927) 1–95.

H.J.S. Smith, Note on continued fractions, Messenger Math. 6 (1877) 1–14.

Depositado:22 May 2012 09:49
Última Modificación:06 Feb 2014 10:21

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