The chainable continua are the spaces approximated by finite COTS

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2147-6821-1-SM.pdf (269.81 KB)

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2001-10-01

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https://riunet.upv.es/handle/10251/82005

Cita bibliográfica

Kennedy, JA.; Kopperman, RD.; Wilson, RG. (2001). The chainable continua are the spaces approximated by finite COTS. Applied General Topology. 2(2):165-177. https://doi.org/10.4995/agt.2001.2147

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Resumen

[EN] 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.

Palabras clave

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

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2001.2147

Versión del editor

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

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Applied General Topology - Vol 02, No 2 (2001)