| Autor: |
Bennett, Harold R., Hart, Klaas Pieter, Lutzer, David J. |
| Rok vydání: |
2009 |
| Předmět: |
|
| Zdroj: |
Topology and its Applications, 157 (2010), 456--465 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.topol.2009.10.004 |
| Popis: |
We show that any metacompact Moore space is monotonically metacompact and use that result to characterize monotone metacompactness in certain generalized ordered (GO)spaces. We show, for example, that a generalized ordered space with a sigma-closed-discrete dense subset is metrizable if and only if it is monotonically (countably) metacompact, that a monotonically (countably) metacompact GO-space is hereditarily paracompact, and that a locally countably compact GO-space is metrizable if and only if it is monotonically (countably) metacompact. We give an example of a non-metrizable LOTS that is monotonically metacompact, thereby answering a question posed by S. G. Popvassilev. We also give consistent examples showing that if there is a Souslin line, then there is one Souslin line that is monotonically countable metacompact, and another Souslin line that is not monotonically countably metacompact. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
