Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658976 | Topology and its Applications | 2013 | 5 Pages |
Abstract
Monotonically metacompact spaces were recently introduced as an extension of the concept of monotonically compact spaces. In this note we answer a question of Popvassilev, and Bennett, Hart, and Lutzer, by showing that every compact, Hausdorff, monotonically (countably) metacompact space is metrizable. We also show that certain countable spaces fail to be monotonically (countably) metacompact.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology