6533b7d8fe1ef96bd126a137
RESEARCH PRODUCT
On product of p-sequential spaces
B.a. Boljievsubject
Discrete mathematicsInner product spaceProduct (mathematics)UltrafilterHausdorff spaceRegular spaceAstrophysics::Earth and Planetary AstrophysicsGeometry and TopologyUrysohn and completely Hausdorff spacesSpace (mathematics)Normal spaceMathematicsdescription
Abstract The product of finitely many regular p-compact p-sequential spaces is p-compact p-sequential for any free ultrafilter p as it follows from [5] . In the paper is produced an example of a Hausdorff p-compact p-sequential space whose square is not p-sequential. It is also given an example of a space which is sP-radial, wP-radial, vwP-radial for any P ⊂ μ ( τ ) but its square is neither sP-radial nor wP-radial nor vwP-radial space.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-03-01 | Topology and its Applications |