|
|||||
|
|
A regular space with a countable network and different dimensions |
|
| Authors: | George Delistathis Stephen Watson |
| Affiliation: | Department of Mathematics, York University, 4700 Keele St., North York, Ontario M3J 1P3 Canada Stephen Watson ; Department of Mathematics, York University, 4700 Keele St., North York, Ontario M3J 1P3 Canada |
| Abstract: | In this paper, we construct a regular space with a countable network (even the union of countably many separable metric subspaces) in which  and  do not coincide under the assumption of the continuum hypothesis (CH). This gives a consistent negative answer to a question of A.V. Arhangel'skii. |
| Keywords: | |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载全文 | |