30 | 05 | 2024


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Article 14

On some questions raised by J. Foran

Real Analysis Exchange 15 (1990), 559-581.

Mathematical reviews subject classification: 26A30.



In a comprehensive survey article (Continuous functions, Real Analysis Exchange 2 (1977), 85-103), J. Foran has raised several interesting questions related to some classes of continuous functions.

In the following, we are dealing with three of these questions.

As a part of our approach we will settle in the negative three of Foran's conjectures.