The chainable continua are the spaces approximated by finite COTS

[EN] We show that the chainable continua (also called snake-like or arc-like)continua, are precisely the Hausdorff reflections of inverse limits of sequences of finite COTS under maps which are continuous and are separating.

Detalles Bibliográficos
Autores: Kennedy, Judy A., Kopperman, Ralph D., Wilson, Richard G.
Tipo de recurso: artículo
Fecha de publicación:2001
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/82005
Acceso en línea:https://riunet.upv.es/handle/10251/82005
Access Level:acceso abierto
Palabra clave:Chainable continuum
Knaster continuum
Circle-like continuum
Inverse limit
COTS
Connected ordered topological space
Descripción
Sumario:[EN] We show that the chainable continua (also called snake-like or arc-like)continua, are precisely the Hausdorff reflections of inverse limits of sequences of finite COTS under maps which are continuous and are separating.