An example of a regular Cantor set whose difference set is a Cantor set with positive measure (Q1190703)
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scientific article; zbMATH DE number 55916
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An example of a regular Cantor set whose difference set is a Cantor set with positive measure |
scientific article; zbMATH DE number 55916 |
Statements
An example of a regular Cantor set whose difference set is a Cantor set with positive measure (English)
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26 September 1992
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We give an example of a regular Cantor set whose self-difference set is a Cantor set and, at the same time, has a positive measure. This is a counter-example of one of the questions posed by J. Palis related to homoclinic bifurcation of surface diffeomorphisms.
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regular Cantor set
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self-difference set
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positive measure
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