论文标题
K_Ω空间的结构和Arhangel'skii的问题
The structure of k_ω spaces and a question of Arhangel'skii's
论文作者
论文摘要
2010年，Arhangel'skii的问题突出了K_Ω空间的知识差距。实际上，Siwiec在1976年回答了他的具体问题，但突出的差距仍然存在。我们介绍了纯商图的简单概念，将莫里塔（Morita）的定理扩展到这些概念，并使用Fell的拓扑表明，表明每个商映射都可以“净化”；从而填补空白，阐明K_Ω空间的结构，并为Arhangel'skii的问题提供更完整的答案。
In 2010 a question of Arhangel'skii's highlighted a gap in the knowledge of k_ω-spaces. His specific question had in fact been answered by Siwiec in 1976, but the highlighted gap still remains. We introduce the simple idea of pure quotient maps, extend Morita's theorem to these, and use Fell's topology to show that every quotient map onto a k_ω-space can be 'purified'; and thus fill the gap, elucidate the structure of k_ω-spaces, and obtain a fuller answer to Arhangel'skii's question.
