| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659713 | Topology and its Applications | 2010 | 4 Pages |
Abstract
For each natural number k⩾4, we construct a Tychonoff space with a rank k-diagonal but without a rank (k+1)-diagonal. This example proves a conjecture on rank of diagonal given by A.V. Arhangel'skii and R.Z. Buzyakova (2006) in [1] and answers some questions raised by them in the same paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
