On Thin Continua
We introduce the notion of thin continua: a continuum is thin if every nondegenerate subcontinuum has nonempty interior. We prove that such continua are locally connected and we investigate their mapping properties. We also investigate universal thin dendrites of a given order.
H. Abobaker and W. J. Charatonik, "On Thin Continua," Topology and its Applications, vol. 290, article no. 107408, Elsevier, Mar 2021.
The definitive version is available at https://doi.org/10.1016/j.topol.2020.107408
Mathematics and Statistics
Keywords and Phrases
Dendrite; Thin Continuum; Universal
International Standard Serial Number (ISSN)
Article - Journal
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01 Mar 2021