Proves the absence of common models for certain class continua and their properties, implying fundamental limitations in topology.
In this paper, we first prove that for each continuum Z Z , the class of all hereditarily indecomposable continua YZ 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.
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Eiichi Matsuhashi (2026) studied this question.
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