Reversibility of interval homeomorphisms without fixed points

• Autores: Witold Jarczyk
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 63, Nº. 1-2, 2002, págs. 66-75
• Idioma: inglés
• DOI: 10.1007/s00010-002-8005-9
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that any homeomorphism mapping a real interval onto itself and having no fixed points is conjugate to its inverse by a continuous involution or, equivalently, is a composition of two continuous decreasing involutions. As a consequence it is shown that any homeomorphism of an open interval can be represented as a composition of at most four continuous decreasing involutions.