R-covered branched surfaces

• Autores: Sandra Shields
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 217, Nº 2, 2004, págs. 303-330
• Idioma: inglés
• DOI: 10.2140/pjm.2004.217.303
• Texto completo no disponible (Saber más ...)
• Resumen

  • We give su.cient conditions for an R-covered codimension one foliation F of a closed 3-manifold to be carried by an R-covered branched surface; that is, a branched surface carrying only foliations with the R-covered property. These conditions can be readily veri.ed for many examples. In cases where the branched surface is generated by disks, the R-covered property is stable for F in the sense that all nearby foliations are also R-covered.