Abstract

In this paper we consider properties of the class of finitely continuous Darboux functions. In particular, we study some properties of the set of discontinuity points of the function from this class. We show some relations between the family of all Darboux finitely continuous functions and the family of all Darboux strong finitely continuous functions or Baire-one-star Darboux functions.

中文翻译：

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有限连续 Darboux 函数

摘要

在本文中，我们考虑有限连续 Darboux 函数类的性质。特别是，我们研究了此类函数的不连续点集的一些属性。我们展示了所有 Darboux 有限连续函数族与所有 Darboux 强有限连续函数族或 Baire-one-star Darboux 函数族之间的一些关系。