On Thin Continua
Abstract
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.
Recommended Citation
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
Department(s)
Mathematics and Statistics
Keywords and Phrases
Dendrite; Thin Continuum; Universal
International Standard Serial Number (ISSN)
0166-8641
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2021 Elsevier, All rights reserved.
Publication Date
01 Mar 2021
