The chainable continua are the spaces approximated by finite COTS

Judy A. Kennedy, Ralph D. Kopperman, Richard G. Wilson

Abstract

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.

Keywords

Chainable continuum; Knaster continuum; Circle-like continuum; Inverse limit; COTS; Connected ordered topological space

Full Text:

PDF

Abstract Views

1112
Metrics Loading ...

Metrics powered by PLOS ALM




Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt