Fixed points and periodic points of orientation-reversing planar homeomorphisms
- Autores: J. P. Boronski
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3717-3722
- Idioma: inglés
- DOI: 10.1090/s0002-9939-10-10360-8
- Enlaces
-
Resumen
Two results concerning orientation-reversing homeomorphisms of the plane are proved. Let be an orientation-reversing planar homeomorphism with a continuum invariant (i.e. ). First, suppose there are at least bounded components of that are invariant under . Then there are at least components of the fixed point set of in . This provides an affirmative answer to a question posed by K. Kuperberg. Second, suppose there is a -periodic orbit in with . Then there is a 2-periodic orbit in , or there is a 2-periodic component of . The second result is based on a recent result of M. Bonino concerning linked periodic orbits of orientation-reversing homeomorphisms of the 2-sphere . These results generalize to orientation-reversing homeomorphisms of .
¿Es nuevo? Regístrese
Ventajas de registrarse
