Concerning the Baire class of transformations on product spaces (Q1109904)
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scientific article; zbMATH DE number 4071243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Concerning the Baire class of transformations on product spaces |
scientific article; zbMATH DE number 4071243 |
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Concerning the Baire class of transformations on product spaces (English)
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1988
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A function g: \(W\to Z\) is nonalternating if \(g^{-1}(C)\) is connected whenever C is connected. One main result is the following: let \(f: X\times Y\to Z\) be such that all Y-sections are nonalternating and the family of all X-sections form a separable subspace of the Baire 1 functions from Y to Z. If \(X=R\) and Y and Z are separable metric spaces, then f is of Baire class one.
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Baire 1 functions
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separable metric spaces
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Baire class one
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0.7737022638320923
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0.760250449180603
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0.7464361190795898
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