标题： 序数分解与极值选择 显示英文标题

标题： Ordinal Decompositions and Extreme Selections

摘要： 本文给出了由基本空间的特殊序数分解生成的两种自然的极值超空间选择构造。 这些构造不仅简化了论证过程，而且在阐明若干已知结果背后的思路方面非常有效。 它们对于获得此类极值选择的一些新结果也至关重要。 这是通过使用称为“相对于某点的clopen集”的特殊集合实现的。 这些集合是由闭集与空间中点之间关于某一超空间选择的关系自然生成的。 显示英文摘要

摘要： The paper contains two natural constructions of extreme hyperspace selections generated by special ordinal decompositions of the underlying space. These constructions are very efficient not only in simplifying arguments but also in clarifying the ideas behind several known results. They are also crucial in obtaining some new results for such extreme selections. This is achieved by using special sets called clopen modulo a point. Such sets are naturally generated by a relation between closed sets and points of the space with respect to a given hyperspace selection.