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arXiv · 2204.01493

Totally disconnected subsets of chainable continua

David S. Lipham
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Abstract

We show that the endpoint set of a Suslinian chainable continuum must be zero-dimensional at some point. In particular, it cannot be homeomorphic to complete Erd\H{o}s space. This answers a question of Jerzy Krzempek.

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David S. Lipham. 2022-03-14. Totally disconnected subsets of chainable continua. https://doi.org/10.1016/2022.108187

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