Concerning functions with a perfect road (Q1332597)
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scientific article; zbMATH DE number 627520
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Concerning functions with a perfect road |
scientific article; zbMATH DE number 627520 |
Statements
Concerning functions with a perfect road (English)
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19 February 1995
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Relationships between six properties of functions (i.e., extendability, almost continuity, connectivity, the Darboux property, peripheral continuity, and possessing a perfect road) are considered in the classes: of universally measurable functions, functions with the Baire property in the restricted sense, quasicontinuous functions, and cliquish functions. Some similar problems in the class of quasicontinuous functions were discussed by the reviewer [Math. Pannonica 3, No. 2, 81-96 (1992; Zbl 0767.26005)].
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universally null set
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strongly zero-dimensional space
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extendability
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almost continuity
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connectivity
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Darboux property
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peripheral continuity
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perfect road
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universally measurable functions
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Baire property
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quasicontinuous functions
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cliquish functions
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0.8245558738708496
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0.8233461380004883
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0.8184762597084045
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0.8064783215522766
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0.7804409265518188
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