| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659797 | Topology and its Applications | 2011 | 6 Pages |
Abstract
In [3], R. Telgársky (1975) asked: does the first player have a winning strategy in the game G(F,X×X) if the first player has a winning strategy in the game G(F,X)? I give a positive answer to this question and prove that this result is also true for spaces where the first player has a winning strategy in game G(K,X) where K=1, F, C, for σC if X is P-space and for DC if X is collectionwise-normal space. The last result is related to the Telgársky's (1983) conjecture discussed in [1]. These results are not true for infinite product of spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
