The chainable continua are the spaces approximated by finite COTS

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


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.


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

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Universitat Politècnica de València

e-ISSN: 1989-4147