Work

The Non-existence of Common Models for Certain Classes of Continua

Year: 2026

Type: article

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.

Source: Bulletin of the Malaysian Mathematical Sciences Society

DOI: 10.1007/s40840-026-02063-z

Author: Eiichi Matsuhashi

Institution: Shimane University

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Shimane University, Japan Society for the Promotion of Science