Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516636 | Topology and its Applications | 2005 | 20 Pages |
Abstract
Whereas the Gerlits-Nagy γ property is strictly weaker than the Galvin-Miller strong γ property, the corresponding strong notions for the Menger, Hurewicz, Rothberger, Gerlits-Nagy (â), Arkhangel'skiÄ±Ë and Sakai properties are equivalent to the original ones. The main result is that almost each of these properties admits the game theoretic characterization suggested by the stronger notion. We also solve a related problem of KoÄinac and Scheepers, and answer a question of Iliadis.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Boaz Tsaban,