Asymptotic oscillations (Q861935)
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scientific article; zbMATH DE number 5121448
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic oscillations |
scientific article; zbMATH DE number 5121448 |
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Asymptotic oscillations (English)
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2 February 2007
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Given a function \(f: X\to \mathbb{R}\) defined on the support of a ballean, we introduce the notion of slow oscillation in direction of a filter on \(X\). We show that there exists a filter on \(X\) responsible for the rate of slow oscillation of \(f\) at infinity. We apply this result to the Stone-Čech compactifications of discrete groups.
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ballean
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slowly oscillating function
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Stone-Čech compactifications of discrete groups
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