6533b834fe1ef96bd129d870
RESEARCH PRODUCT
Irregularity
Szymon DoleckiDavid Gauldsubject
Mathematics::Category TheoryMathematics::General TopologyGeometry and Topologydescription
AbstractRegular 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-04-01 | Topology and its Applications |