Abstract
We consider generalized inverse limits of continua with bonding functions Fn that have the projection of Graph (Fn) onto the second (first) factor atomic and images (pre-image) of points are zero-dimensional. For such bonding functions we show that under some easily verified conditions that if the first (all) factor space(s) has a certain property then the inverse limit space must have this property. The properties considered include hereditary decomposability, hereditary indecomposability, hereditary unicoherence, arc-likeness, and tree-likeness. We illustrate the theorems by several examples.
Recommended Citation
W. J. Charatonik et al., "Inverse Limits and Atomic Projections," Topology and its Applications, vol. 282, article no. 107308, Elsevier, Aug 2020.
The definitive version is available at https://doi.org/10.1016/j.topol.2020.107308
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
Arc-like; Atomic map; Generalized inverse limit; Hereditarily decomposable; Hereditarily unicoherent; Tree-like
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
15 Aug 2020
