The chainable continua are the spaces approximated by finite COTS

The chainable continua are the spaces approximated by finite COTS

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.

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Bibliographische Detailangaben
Veröffentlicht in:Applied general topology 2001-10, Vol.2 (2), p.165-177
Hauptverfasser: Kennedy, Judy A., Kopperman, Ralph D., Wilson, Richard G.
Format: Artikel
Sprache:eng
Schlagworte:
Chainable continuum
Circle-like continuum
Connected ordered topological space
COTS
Inverse limit
Knaster continuum
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Beschreibung
Zusammenfassung: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.
ISSN:1576-9402
1989-4147
DOI:10.4995/agt.2001.2147