A property equivalent to being semi-Kelley
General Topology
2022-11-24 v1
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.
Cite
@article{arxiv.2211.13162,
title = {A property equivalent to being semi-Kelley},
author = {Mauricio Chacón-Tirado and María de J. López and Ivon Vidal-Escobar},
journal= {arXiv preprint arXiv:2211.13162},
year = {2022}
}
Comments
22 pages, 1 figure