Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space (Q1332190)
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scientific article; zbMATH DE number 635900
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space |
scientific article; zbMATH DE number 635900 |
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Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space (English)
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8 September 1994
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The author shows that the \(n\)-Čech cohomology groups of the \(H^ \infty\) maximal ideal space \((X(H^ \infty))\) are trivial for \(n\geq 2\), and that single elements of \(H^ \infty\) separate points from closed sets in \(X(H^ \infty)\). These results are used to prove that the covering dimension of \(X(H^ \infty)\) is 2.
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\(n\)-Čech cohomology groups
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\(H^ \infty\) maximal ideal space
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covering dimension
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