Darboux functions related to generalization of approximately continuity (Q530198)
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scientific article; zbMATH DE number 6728653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Darboux functions related to generalization of approximately continuity |
scientific article; zbMATH DE number 6728653 |
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Darboux functions related to generalization of approximately continuity (English)
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9 June 2017
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Generalizations of the Darboux property are studied. A family of subsets of the real line is said to have the \((*)\)-property if it contains the Euclidean topology, each of its members has the Baire property and is a collection of measurable sets such that these sets are not of measure zero at any point. If moreover each of its elements is Lebesgue measurable, the family is said to have the \((d*)\) property. Porosity and properties analogical to the Darboux property are studied on these systems.
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Darboux property
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strong Świątkowski property
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density topology
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porosity
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