The nonexistence of expansive homeomorphisms of Suslinian continua (Q803999)
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scientific article; zbMATH DE number 4199018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The nonexistence of expansive homeomorphisms of Suslinian continua |
scientific article; zbMATH DE number 4199018 |
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The nonexistence of expansive homeomorphisms of Suslinian continua (English)
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1990
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The author proves the following result. Theorem: If a continuum X admits an expansive homeomorphism, then there is a closed subset Z of X such that each component of Z is non-degenerate, the space of components of Z is a Cantor set, and the decomposition of Z into components is continuous. In particular, there are no expansive homeomorphisms on Suslinian continua.
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continuous decomposition
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Cantor set
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expansive homeomorphisms
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Suslinian continua
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0.92990786
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0.91687167
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0.9038734
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0.90339935
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0.9009335
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0.9008579
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0.89903474
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