RT Journal Article
T1 Continued fractions and order-preserving homeomorphism.
A1 Gallego Lupiáñez, Francisco
AB 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.
PB Elsevier Science Bv
SN 0377-0427
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/57253
UL https://hdl.handle.net/20.500.14352/57253
LA eng
NO 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.
DS Docta Complutense
RD 15 may 2024