The chainable continua are the spaces approximated by finite COTS

Authors

  • Judy A. Kennedy University of Delaware
  • Ralph D. Kopperman City University of New York
  • Richard G. Wilson Universidad Autónoma Metropolitana

DOI:

https://doi.org/10.4995/agt.2001.2147

Keywords:

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

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.

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Author Biographies

Judy A. Kennedy, University of Delaware

Department of Mathematics

Ralph D. Kopperman, City University of New York

Department of Mathematics

Richard G. Wilson, Universidad Autónoma Metropolitana

Departamento de Mateméticas

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Published

2001-10-01

How to Cite

[1]
J. A. Kennedy, R. D. Kopperman, and R. G. Wilson, “The chainable continua are the spaces approximated by finite COTS”, Appl. Gen. Topol., vol. 2, no. 2, pp. 165–177, Oct. 2001.

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Articles