Generalization of two theorems of Steinhaus in category bases
General Topology
2022-06-30 v1 Functional Analysis
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 our second theorem fails.
Keywords
Cite
@article{arxiv.2206.14726,
title = {Generalization of two theorems of Steinhaus in category bases},
author = {Sanjib Basu and Abhit Chandra Pramanik},
journal= {arXiv preprint arXiv:2206.14726},
year = {2022}
}