Abstract

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 the thesis of the second theorem fails.

Keywords: Point-meager Baire base; perfect translation base; countable pseudobase; complete family.

MSC: 28A05, 54A05, 54E52

DOI: 10.57016/MV-NJYI5438

Pages:  1--6