The existence of continuous weak selections and orderability-type properties in products and filter spaces
The existence of continuous weak selections and orderability-type properties in products and filter spaces
复制标题
乘积和过滤空间中连续弱选择和可排序类型属性的存在
DOI：
10.1016/j.topol.2017.09.030
复制
发表时间：
2017
影响因子：
0.6
通讯作者：
T. Yamauchi
中科院分区：
文献类型：
--
作者：
K. Motooka;D. Shakhmatov;T. Yamauchi
讨论了具有单个非孤立点的空间及其乘积的可序性、弱可序性和连续弱选择的存在性。证明了子序空间的闭连续象X是遗传仿紧的，只要它与某个非离散空间Y的乘积X× Y具有分离连续弱选择.
Orderability, weak orderability and the existence of continuous weak selections on 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× Y with some non-discrete space Y has a separately continuous weak selection.