The chainable continua are the spaces approximated by finite COTS

Judy A. Kennedy

United States

University of Delaware

Department of Mathematics

Ralph D. Kopperman

United States

City University of New York

Department of Mathematics

Richard G. Wilson

Mexico

Universidad Autónoma Metropolitana

Departamento de Mateméticas

Submitted: 2014-02-17

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Accepted: 2014-02-17

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Published: 2001-10-01

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

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

Supporting agencies:

Partially supported by CUNY-PSC Reserach Grant 61482-00 30 and Consejo Nacional de Ciencia y Tecnología (CONACYT)

México

grant 28411-E

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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