| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660794 | Topology and its Applications | 2008 | 4 Pages |
Abstract
We show that it is consistent with ZFC that there exist:(1)An unbounded (with respect to ⩽∗) and strongly measure zero subgroup of ZN, but without the Menger property.(2)An unbounded (with respect to ⩽∗) and strongly measure zero subgroup of ZN with the Menger property which does not have the Rothberger property. This answers the last two problems which remained from a classification project of Machura and Tsaban.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
