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The cluster set structure of Darboux Baire 1 functions - MaRDI portal

The cluster set structure of Darboux Baire 1 functions (Q798790)

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scientific article; zbMATH DE number 3871694
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The cluster set structure of Darboux Baire 1 functions
scientific article; zbMATH DE number 3871694

    Statements

    The cluster set structure of Darboux Baire 1 functions (English)
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    1985
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    In this paper the author characterizes the cluster set structure of Darboux Baire 1 functions. This characterization is formulated in terms of conditions on subsets of the plane, \(R^ 2\), and involves the upper and lower envelopes of the sets. These conditions are necessary and sufficient for a set in \(R^ 2\) to form the cluster set structure of a Darboux Baire 1 function.
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    cluster set structure
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    Darboux Baire 1 functions
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