Original scientific paper

https://doi.org/10.3336/gm.46.1.18

A 2-equivalent Kelley continuum

Carlos Islas ; Department of Mathematics, Faculty of Sciences, Universidad Autónoma de la Ciudad de México, 04510 México DF, México

Abstract

The main purpose of this paper is to construct a 2-equivalent compactification X of a ray whose remainder is homeomorphic to X and such that X is a Kelley Continuum. In order to construct this example, we prove a theorem which gives conditions for an inverse limit of arcs X to be the compactification of a ray and X is a Kelley continuum.

Keywords

2-equivalent continuum; Kelley Continuum; inverse limits

Hrčak ID:

68905

URI

https://hrcak.srce.hr/68905

Publication date:

13.6.2011.

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