Artículo
On the topology of locally 2-connected Peano continua
Autor/es | Chávez de Diego, María José
Fernández Bayort, Tomás Quintero Toscano, Antonio Rafael Villar Liñán, María Trinidad |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2012 |
Fecha de depósito | 2016-05-30 |
Publicado en |
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Resumen | Several recent results by Thomassen ([23 The locally connected compatc metric spaces embeddable in the plane, Combinatorica 24 (2004), 699-718, 24] Classification of locally 2-connected compact metric spaces, Combinatorica ... Several recent results by Thomassen ([23 The locally connected compatc metric spaces embeddable in the plane, Combinatorica 24 (2004), 699-718, 24] Classification of locally 2-connected compact metric spaces, Combinatorica 25 (2005), 85-103) concerning locally (2-)connected, compact, connected metrizable spaces are considered in the setting of continuum theory. By doing that we find out that Thomassen's theorems are closely related to classical powerful theorems, due to Kuratowski, Claytor and Borsuk, among others, which allow an alternative approach to them. This way we are able to generalize Thomassen's results to locally compact spaces. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | MTM 2007-65726 |
Cita | Chávez de Diego, M.J., Fernández Bayort, T., Quintero Toscano, A.R. y Villar Liñán, M.T. (2012). On the topology of locally 2-connected Peano continua. Rocky Mountain Journal of Mathematics, 42 (2), 499-527. |
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