| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661340 | Topology and its Applications | 2007 | 16 Pages |
Abstract
Regular and irregular pretopologies are studied. In particular, for every ordinal there exists a topology such that the series of its partial (pretopological) regularizations has length of that ordinal. Regularity and topologicity of special pretopologies on some trees can be characterized in terms of sets of intervals of natural numbers, which reduces studied problems to combinatorics.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
