Abstract
A map f:X→Y from a continuum X onto a continuum Y is said to be hereditarily irreducible, if f(A)⊊f(B) for any subcontinua A and B such that A⊊B. We investigate properties of hereditarily irreducible maps between continua. Special attention is given to maps between graphs and maps from the interval.
Recommended Citation
H. Abobaker and W. J. Charatonik, "Hereditarily Irreducible Maps," Topology and its Applications, vol. 284, article no. 107395, Elsevier, Oct 2020.
The definitive version is available at https://doi.org/10.1016/j.topol.2020.107395
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
Continuum; Hereditarily irreducible map; Order of a point
International Standard Serial Number (ISSN)
0166-8641
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
01 Oct 2020
