| Autor: |
Motooka, Koichi, Shakhmatov, Dmitri, Yamauchi, Takamitsu |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
Topology and its Applications, 232 (2017), 45-60 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.topol.2017.09.030 |
| Popis: |
Orderability, weak orderability and the existence of continuous weak selections on filter spaces (i.e., spaces with a single non-isolated point) and their products are discussed. We prove that a closed continuous image X of a suborderable space must be hereditarily paracompact provided that its product X\times Y with some non-discrete space Y has a separately continuous weak selection. |
| Databáze: |
arXiv |
| Externí odkaz: |
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