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arXiv · 2211.13162

A property equivalent to being semi-Kelley

Mauricio Chacón-Tirado·María de J. López·Ivon Vidal-Escobar
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Abstract

We present a property equivalent to the property of being semi-Kelley. Using this equivalence we prove that being semi-Kelley is a hereditary property for atriodic continua. We prove that semi-Kelley remainders are atriodic, moreover, we prove that semi-Kelley continua are semi-Kelley remainders for chainable continua, circularly chainable continua, and arc continua, and we give an example of an atriodic Kelley continuum which is a semi-Kelley remainder and not a Kelley remainder. We also prove that hereditarily semi-Kelley dendroids are smooth.

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Mauricio Chacón-Tirado, María de J. López, Ivon Vidal-Escobar. 2022-11-23. A property equivalent to being semi-Kelley. https://arxiv.org/abs/2211.13162

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