A topological version of iterated function systems (Q2919605)
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scientific article; zbMATH DE number 6090224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A topological version of iterated function systems |
scientific article; zbMATH DE number 6090224 |
Statements
4 October 2012
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iterated function system
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topological iterated function system
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shift space
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attractor
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A topological version of iterated function systems (English)
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The author extends the notion of an iterated function system (IFS) defined on a complete metric space to a topological iterated function system (TIFS) defined on a Hausdorff topological space. It is proved that the TIFS has a unique attractor and there exists a continuous canonical projection from the shift space associated with the TIFS on the attractor as in the classical case. At the end an example of an attractor of a TIFS which is not an attractor of an IFS is given.
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