SCE-cell decomposition and OCP in weakly o-minimal structures (Q306837)
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scientific article; zbMATH DE number 6621298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | SCE-cell decomposition and OCP in weakly o-minimal structures |
scientific article; zbMATH DE number 6621298 |
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SCE-cell decomposition and OCP in weakly o-minimal structures (English)
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1 September 2016
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The paper considers different notions of cell decomposition in o-minimal and weakly o-minimal structures. The authors introduce the notion of strong continuous extension (SCE) cells and prove that every weakly o-minimal structure with SCE-cell decomposition has the open cell property. They also give an example of a weakly o-minimal structure with strong cell decomposition but without SCE-cell decomposition.
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weakly o-minimal structure
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open cell property
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SCE-cell decomposition
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strong cell decomposition
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canonical o-minimal extension
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