Abstract
In this paper, we find uncountable families of generalized inverse sequences on intervals, where the bonding functions consist of a finite number of line segments, such that the inverse limit spaces of these sequences are pointwise self-homeomorphic continua. We give several examples of pointwise self-homeomorphic continua obtained in this manner including the dendrite D3 and a dendrite containing Dω. The dendrite D3 was obtained previously, by others, as a generalized inverse limit but the bonding function in that example contained infinitely many line segments. We show that the techniques we use on intervals can be extended to inverse limits where the factor spaces are finite trees to again obtain pointwise self-homeomorphic continua.
Recommended Citation
A. H. Ali et al., "Pointwise Self-homeomorphic Generalized Inverse Limits," Boletin De La Sociedad Matematica Mexicana, vol. 32, no. 1, article no. 29, Springer, Mar 2026.
The definitive version is available at https://doi.org/10.1007/s40590-025-00836-3
Department(s)
Mathematics and Statistics
Keywords and Phrases
Dendrite; Generalized inverse limit; Pointwise self-homeomorphic
International Standard Serial Number (ISSN)
2296-4495; 1405-213X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2026 Springer, All rights reserved.
Publication Date
01 Mar 2026
