关于$W$ -空间的一个推广
On a certain generalization of $W$-spaces
摘要：
本文给出了G.格林哈奇我们表明，这种推广导致严格更大的一类拓扑空间，我们称之为$\widetilde W$ -空间，我们提供了几个应用。也就是说，我们利用$\widetilde W$ -空间的概念，给出了两个空间的乘积是Baire空间，一个拓扑群是拓扑群，或一个单独的连续函数在某个大集的点处连续的充分条件.
英文摘要：
We present a simple generalization of $W$-spaces introduced by G. Gruenhage. We show that this generalization leads to a strictly larger class of topological spaces which we call $\widetilde W$-spaces, and we provide several applications. Namely, we use the notion of $\widetilde W$-spaces to provide sufficient conditions for the product of two spaces to be a Baire space, for a semitopological group to be a topological group, or for a separately continuous function to be continuous at the points of a certain large set.
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