Products of monotonically normal spaces with factors defined by topological games |
| |
Authors: | Yukinobu Yajima |
| |
Affiliation: | Department of Mathematics, Kanagawa University, Yokohama, 221-8686, Japan |
| |
Abstract: | Recently, it has been proved that orthocompactness implies normality for the products of a monotonically normal space and a compact space. It had been known that normality, collectionwise normality and the shrinking property are equivalent for the same products. We extend these two results for the products replacing the compact factor with a factor defined by topological games. Moreover, we prove the equivalence of orthocompactness and weak suborthocompactness in these products. |
| |
Keywords: | 54B10 54D15 54D20 |
本文献已被 ScienceDirect 等数据库收录! |
|