论文标题
在类别基础上对斯坦豪斯的两个定理的概括
Generalization of two theorems of Steinhaus in category bases
论文作者
论文摘要
在这里,我们通过在类别碱基的设置中扩展了Steinhaus及其相应类别的两个结果。我们进一步表明,在任何完美的翻译基础中,每个丰富的baire集都包含一个完整的子集,我们的第二个定理会失败。
Here we unify two results of Steinhaus and their corresponding category analogues by extending them in the settings of category bases. We further show that in any perfect translation base, every abundant Baire set contains a full subset for which our second theorem fails.