值在Piotrowski空间中的拟连续函数
Quasicontinuous functions with values in Piotrowski spaces
摘要：
称拓扑空间$X$为Piotrowski，如果从Baire空间$Z$到$X$的每个拟连续映射$f:Z\to X$都有连续点.在本文中，我们调查已知的结果Piotrowski空间和调查的关系，Piotrowski空间严格破碎，Stegall，和游戏确定的空间。证明了Piotrowski Tychonoff空间$X$包含稠密（完全）可度量化Baire子空间当且仅当$X$是Baire（Choquet）.
英文摘要：
A topological space $X$ is called Piotrowski if every quasicontinuous map $f:Z\to X$ from a Baire space $Z$ to $X$ has a continuity point. In this paper we survey known results on Piotrowski spaces and investigate the relation of Piotrowski spaces to strictly fragmentable, Stegall, and game determined spaces. Also we prove that a Piotrowski Tychonoff space $X$ contains a dense (completely) metrizable Baire subspace if and only if $X$ is Baire (Choquet).
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