论文标题
第一Baire类的尖端稳定功能的空间
Baireness of the space of pointwise stabilizing functions of the first Baire class
论文作者
论文摘要
如果baire类别定理以$ x $（即，$ x $ $ x $的任何序列的交叉点）在$ x $中密集，则拓扑空间$ x $是Baire。在本文中，我们已经获得了baire-One函数的空间$ b_1（x）$是如此。这回答了T. Banakh和S. Gabriyelyan最近提出的一个问题。
A topological space $X$ is Baire if the Baire Category Theorem holds for $X$, i.e., the intersection of any sequence of open dense subsets of $X$ is dense in $X$. In this paper, we have obtained that the space $B^{st}_1(X)$ of pointwise stabilizing Baire-one functions is Baire if the space $B_1(X)$ of Baire-one functions is so. This answers a question posed recently by T. Banakh and S. Gabriyelyan.
