The Non-existence of Common Models for Certain Classes of Continua
Abstract
Abstract In this paper, we first prove that for each continuum $$ Z $$ Z , the class of all hereditarily indecomposable continua $$ Y_Z $$ Y Z that map onto $$ Z $$ Z by a light map does not admit a common model. Also, for several topological properties previously shown not to be Whitney reversible, we demonstrate that the corresponding classes of continua forming the counterexamples do not admit a common model.
Fields of Study & Subjects
Advanced Topology and Set Theory
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Bulletin of the Malaysian Mathematical Sciences Society
- Volume
- 49
- Issue
- 2
- Publication date
- 4 March 2026
- Language
- EN