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.

Bibliographic Details
Authors: Kennedy, Judy A., Kopperman, Ralph D., Wilson, Richard G.
Format: article
Publication Date:2001
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/82005
Online Access:https://riunet.upv.es/handle/10251/82005
Access Level:Open access
Keyword:Chainable continuum
Knaster continuum
Circle-like continuum
Inverse limit
COTS
Connected ordered topological space
Description
Summary:[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.